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3112422432 = 253723919379
BaseRepresentation
bin1011100110000011…
…1100110000100000
322000220120102220220
42321200330300200
522333240004212
61232502003040
7140062103610
oct27140746040
98026512826
103112422432
111357977049
1272a416480
133a7a873a2
1421750ca40
1513339e38c
hexb983cc20

3112422432 has 96 divisors (see below), whose sum is σ = 9376819200. Its totient is φ = 885497088.

The previous prime is 3112422421. The next prime is 3112422451. The reversal of 3112422432 is 2342242113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×31124224323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150919 + ... + 170297.

It is an arithmetic number, because the mean of its divisors is an integer number (97675200).

Almost surely, 23112422432 is an apocalyptic number.

3112422432 is a gapful number since it is divisible by the number (32) 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 3112422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

3112422432 is an abundant number, since it is smaller than the sum of its proper divisors (6264396768).

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

3112422432 is a wasteful number, since it uses less digits than its factorization.

3112422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19638 (or 19630 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3112422432 is about 55789.0888256835. The cubic root of 3112422432 is about 1460.0447900189.

Adding to 3112422432 its reverse (2342242113), we get a palindrome (5454664545).

The spelling of 3112422432 in words is "three billion, one hundred twelve million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 7648 10038 11472 13384 19379 20076 22944 26768 38758 40152 53536 58137 77516 80304 116274 135653 155032 160608 232548 271306 310064 406959 465096 542612 620128 813918 930192 1085224 1627836 1860384 2170448 3255672 4340896 4631581 6511344 9263162 13022688 13894743 18526324 27789486 32421067 37052648 55578972 64842134 74105296 97263201 111157944 129684268 148210592 194526402 222315888 259368536 389052804 444631776 518737072 778105608 1037474144 1556211216 3112422432