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3232431104 = 2107974649
BaseRepresentation
bin1100000010101010…
…1111110000000000
322100021101111212112
43000222233300000
523110000243404
61252430114452
7143050132250
oct30052576000
98307344775
103232431104
111409694371
1276264ba28
133c68b5236
1422942b960
1513dba756e
hexc0aafc00

3232431104 has 88 divisors (see below), whose sum is σ = 7462543200. Its totient is φ = 1370750976.

The previous prime is 3232431091. The next prime is 3232431113. The reversal of 3232431104 is 4011342323.

It is a super-2 number, since 2×32324311042 = 20897221684213317632, 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 3232431104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692972 + ... + 697620.

Almost surely, 23232431104 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 3232431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731271600).

3232431104 is an abundant number, since it is smaller than the sum of its proper divisors (4230112096).

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

3232431104 is an equidigital number, since it uses as much as digits as its factorization.

3232431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3232431104 is about 56854.4730342301. The cubic root of 3232431104 is about 1478.5740929271.

Adding to 3232431104 its reverse (4011342323), we get a palindrome (7243773427).

The spelling of 3232431104 in words is "three billion, two hundred thirty-two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 256 388 448 512 679 776 896 1024 1358 1552 1792 2716 3104 3584 4649 5432 6208 7168 9298 10864 12416 18596 21728 24832 32543 37192 43456 49664 65086 74384 86912 99328 130172 148768 173824 260344 297536 347648 450953 520688 595072 695296 901906 1041376 1190144 1803812 2082752 2380288 3156671 3607624 4165504 4760576 6313342 7215248 8331008 12626684 14430496 16662016 25253368 28860992 33324032 50506736 57721984 101013472 115443968 202026944 230887936 404053888 461775872 808107776 1616215552 3232431104