Search a number
-
+
3372682968 = 233367323201
BaseRepresentation
bin1100100100000111…
…0000111011011000
322201001022001021000
43021001300323120
523401401323333
61314400145000
7146402221644
oct31101607330
98631261230
103372682968
1114808786a6
127a1608160
134199800c5
1423dcd9c24
1514b15d713
hexc9070ed8

3372682968 has 64 divisors (see below), whose sum is σ = 9382888800. Its totient is φ = 1122508800.

The previous prime is 3372682939. The next prime is 3372682969. The reversal of 3372682968 is 8692862733.

It is a happy number.

It is a super-2 number, since 2×33726829682 = 22749980805274578048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3372682969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133768 + ... + 156968.

Almost surely, 23372682968 is an apocalyptic number.

It is an amenable number.

3372682968 is an abundant number, since it is smaller than the sum of its proper divisors (6010205832).

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

3372682968 is a wasteful number, since it uses less digits than its factorization.

3372682968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23889 (or 23879 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3372682968 is about 58074.8049329483. The cubic root of 3372682968 is about 1499.6566574166.

The spelling of 3372682968 in words is "three billion, three hundred seventy-two million, six hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 673 1346 2019 2692 4038 5384 6057 8076 12114 16152 18171 23201 24228 36342 46402 48456 69603 72684 92804 139206 145368 185608 208809 278412 417618 556824 626427 835236 1252854 1670472 2505708 5011416 15614273 31228546 46842819 62457092 93685638 124914184 140528457 187371276 281056914 374742552 421585371 562113828 843170742 1124227656 1686341484 3372682968