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3122042832 = 24333725279
BaseRepresentation
bin1011101000010110…
…1001011111010000
322001120200012122000
42322011221133100
522343220332312
61233444114000
7140236632456
oct27205513720
98046605560
103122042832
111362347a97
12731695900
133a9a7522c
142188d49d6
1513414eadc
hexba1697d0

3122042832 has 120 divisors (see below), whose sum is σ = 9211910400. Its totient is φ = 1012362624.

The previous prime is 3122042827. The next prime is 3122042851. The reversal of 3122042832 is 2382402213.

3122042832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3122042796 and 3122042805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588769 + ... + 594047.

It is an arithmetic number, because the mean of its divisors is an integer number (76765920).

Almost surely, 23122042832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122042832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605955200).

3122042832 is an abundant number, since it is smaller than the sum of its proper divisors (6089867568).

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

3122042832 is a wasteful number, since it uses less digits than its factorization.

3122042832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3122042832 is about 55875.2434625568. The cubic root of 3122042832 is about 1461.5475602746.

The spelling of 3122042832 in words is "three billion, one hundred twenty-two million, forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1369 1776 1998 2664 2738 3996 4107 5279 5328 5476 7992 8214 10558 10952 12321 15837 15984 16428 21116 21904 24642 31674 32856 36963 42232 47511 49284 63348 65712 73926 84464 95022 98568 126696 142533 147852 190044 195323 197136 253392 285066 295704 380088 390646 570132 585969 591408 760176 781292 1140264 1171938 1562584 1757907 2280528 2343876 3125168 3515814 4687752 5273721 7031628 7226951 9375504 10547442 14063256 14453902 21094884 21680853 28126512 28907804 42189768 43361706 57815608 65042559 84379536 86723412 115631216 130085118 173446824 195127677 260170236 346893648 390255354 520340472 780510708 1040680944 1561021416 3122042832