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3123332032 = 26677110259
BaseRepresentation
bin1011101000101010…
…0100001111000000
322001200002201002011
42322022210033000
522344033111112
61233531502304
7140253612202
oct27212441700
98050081064
103123332032
111363048647
12731bb7994
133aa106c82
14218b4c772
15134306aa7
hexba2a43c0

3123332032 has 56 divisors (see below), whose sum is σ = 6379585920. Its totient is φ = 1516542720.

The previous prime is 3123331997. The next prime is 3123332039. The reversal of 3123332032 is 2302333213.

It is a junction number, because it is equal to n+sod(n) for n = 3123331994 and 3123332012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123332039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 299319 + ... + 309577.

Almost surely, 23123332032 is an apocalyptic number.

3123332032 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 3123332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189792960).

3123332032 is an abundant number, since it is smaller than the sum of its proper divisors (3256253888).

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

3123332032 is a wasteful number, since it uses less digits than its factorization.

3123332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 3123332032 is about 55886.7786869131. The cubic root of 3123332032 is about 1461.7487071862.

Adding to 3123332032 its reverse (2302333213), we get a palindrome (5425665245).

The spelling of 3123332032 in words is "three billion, one hundred twenty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 67 71 134 142 268 284 536 568 1072 1136 2144 2272 4288 4544 4757 9514 10259 19028 20518 38056 41036 76112 82072 152224 164144 304448 328288 656576 687353 728389 1374706 1456778 2749412 2913556 5498824 5827112 10997648 11654224 21995296 23308448 43990592 46616896 48802063 97604126 195208252 390416504 780833008 1561666016 3123332032