Search a number
-
+
3321872112 = 2431322831447
BaseRepresentation
bin1100010111111111…
…1011111011110000
322120111200120212110
43011333323323300
523300344401422
61305343125320
7145214306226
oct30577737360
98514616773
103321872112
111455123759
127885a3840
1340c29c900
14237270b16
1514697360c
hexc5ffbef0

3321872112 has 120 divisors (see below), whose sum is σ = 9331676544. Its totient is φ = 1017798912.

The previous prime is 3321872093. The next prime is 3321872117. The reversal of 3321872112 is 2112781233.

It is a super-2 number, since 2×33218721122 = 22069668656966681088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3321872112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321872117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294973 + ... + 2296419.

Almost surely, 23321872112 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 3321872112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665838272).

3321872112 is an abundant number, since it is smaller than the sum of its proper divisors (6009804432).

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

3321872112 is a wasteful number, since it uses less digits than its factorization.

3321872112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1748 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 3321872112 is about 57635.6843630749. The cubic root of 3321872112 is about 1492.0875371210.

The spelling of 3321872112 in words is "three billion, three hundred twenty-one million, eight hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 283 312 338 507 566 624 676 849 1014 1132 1352 1447 1698 2028 2264 2704 2894 3396 3679 4056 4341 4528 5788 6792 7358 8112 8682 11037 11576 13584 14716 17364 18811 22074 23152 29432 34728 37622 44148 47827 56433 58864 69456 75244 88296 95654 112866 143481 150488 176592 191308 225732 244543 286962 300976 382616 409501 451464 489086 573924 733629 765232 819002 902928 978172 1147848 1228503 1467258 1638004 1956344 2295696 2457006 2934516 3276008 3912688 4914012 5323513 5869032 6552016 9828024 10647026 11738064 15970539 19656048 21294052 31941078 42588104 63882156 69205669 85176208 127764312 138411338 207617007 255528624 276822676 415234014 553645352 830468028 1107290704 1660936056 3321872112