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3401464320 = 2933549211
BaseRepresentation
bin1100101010111110…
…0011101000000000
322210001110021212000
43022233203220000
523431233324240
61321305104000
7150201653412
oct31257435000
98701407760
103401464320
111496046541
127ab188000
134229194a7
14243a6c9b2
1514d946430
hexcabe3a00

3401464320 has 160 divisors (see below), whose sum is σ = 12082530240. Its totient is φ = 907038720.

The previous prime is 3401464309. The next prime is 3401464327. The reversal of 3401464320 is 234641043.

3401464320 is a `hidden beast` number, since 3 + 4 + 0 + 14 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401464327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44515 + ... + 93725.

It is an arithmetic number, because the mean of its divisors is an integer number (75515814).

Almost surely, 23401464320 is an apocalyptic number.

3401464320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041265120).

3401464320 is an abundant number, since it is smaller than the sum of its proper divisors (8681065920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3401464320 is an equidigital number, since it uses as much as digits as its factorization.

3401464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49243 (or 49221 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3401464320 is about 58322.0740371945. The cubic root of 3401464320 is about 1503.9104367973.

The spelling of 3401464320 in words is "three billion, four hundred one million, four hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 49211 69120 98422 147633 196844 246055 295266 393688 442899 492110 590532 738165 787376 885798 984220 1181064 1328697 1476330 1574752 1771596 1968440 2214495 2362128 2657394 2952660 3149504 3543192 3936880 4428990 4724256 5314788 5905320 6299008 6643485 7086384 7873760 8857980 9448512 10629576 11810640 12598016 13286970 14172768 15747520 17715960 18897024 21259152 23621280 25196032 26573940 28345536 31495040 35431920 37794048 42518304 47242560 53147880 56691072 62990080 70863840 75588096 85036608 94485120 106295760 113382144 125980160 141727680 170073216 188970240 212591520 226764288 283455360 340146432 377940480 425183040 566910720 680292864 850366080 1133821440 1700732160 3401464320