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3112403040 = 253255034297
BaseRepresentation
bin1011100110000011…
…1000000001100000
322000220112110022200
42321200320001200
522333233344130
61232501333200
7140061663225
oct27140700140
98026473280
103112403040
11135796351a
1272a407200
133a7a7b606
1421750594c
15133398760
hexb9838060

3112403040 has 144 divisors (see below), whose sum is σ = 10644667488. Its totient is φ = 828131328.

The previous prime is 3112403003. The next prime is 3112403093. The reversal of 3112403040 is 403042113.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722172 + ... + 726468.

It is an arithmetic number, because the mean of its divisors is an integer number (73921302).

Almost surely, 23112403040 is an apocalyptic number.

3112403040 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 3112403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322333744).

3112403040 is an abundant number, since it is smaller than the sum of its proper divisors (7532264448).

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

3112403040 is a wasteful number, since it uses less digits than its factorization.

3112403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3112403040 is about 55788.9150279874. The cubic root of 3112403040 is about 1460.0417577348.

Adding to 3112403040 its reverse (403042113), we get a palindrome (3515445153).

The spelling of 3112403040 in words is "three billion, one hundred twelve million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 503 720 1006 1440 1509 2012 2515 3018 4024 4297 4527 5030 6036 7545 8048 8594 9054 10060 12072 12891 15090 16096 17188 18108 20120 21485 22635 24144 25782 30180 34376 36216 38673 40240 42970 45270 48288 51564 60360 64455 68752 72432 77346 80480 85940 90540 103128 120720 128910 137504 144864 154692 171880 181080 193365 206256 241440 257820 309384 343760 362160 386730 412512 515640 618768 687520 724320 773460 1031280 1237536 1546920 2062560 2161391 3093840 4322782 6187680 6484173 8645564 10806955 12968346 17291128 19452519 21613910 25936692 32420865 34582256 38905038 43227820 51873384 64841730 69164512 77810076 86455640 97262595 103746768 129683460 155620152 172911280 194525190 207493536 259366920 311240304 345822560 389050380 518733840 622480608 778100760 1037467680 1556201520 3112403040