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3401200320 = 26357506131
BaseRepresentation
bin1100101010111010…
…0011001011000000
322210000221212201020
43022232203023000
523431201402240
61321255305440
7150166503630
oct31256431300
98700855636
103401200320
111495986161
127ab07b280
1342285628b
14243a006c0
1514d8e30d0
hexcaba32c0

3401200320 has 112 divisors (see below), whose sum is σ = 12341522688. Its totient is φ = 777415680.

The previous prime is 3401200307. The next prime is 3401200331. The reversal of 3401200320 is 230021043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3401200320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246346 + ... + 259785.

Almost surely, 23401200320 is an apocalyptic number.

3401200320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3401200320 is an abundant number, since it is smaller than the sum of its proper divisors (8940322368).

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

3401200320 is a wasteful number, since it uses less digits than its factorization.

3401200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506158 (or 506148 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3401200320 is about 58319.8106992813. The cubic root of 3401200320 is about 1503.8715278069.

Adding to 3401200320 its reverse (230021043), we get a palindrome (3631221363).

The spelling of 3401200320 in words is "three billion, four hundred one million, two hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 506131 1012262 1518393 2024524 2530655 3036786 3542917 4049048 5061310 6073572 7085834 7591965 8098096 10122620 10628751 12147144 14171668 15183930 16196192 17714585 20245240 21257502 24294288 28343336 30367860 32392384 35429170 40490480 42515004 48588576 53143755 56686672 60735720 70858340 80980960 85030008 97177152 106287510 113373344 121471440 141716680 161961920 170060016 212575020 226746688 242942880 283433360 340120032 425150040 485885760 566866720 680240064 850300080 1133733440 1700600160 3401200320