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3385012632 = 2334311329027
BaseRepresentation
bin1100100111000011…
…0011000110011000
322201220111110101020
43021300303012120
523413030401012
61315520322440
7146612063331
oct31160630630
98656443336
103385012632
11148782a101
127a5773420
1341c3a9171
142417c9288
1514c296a8c
hexc9c33198

3385012632 has 64 divisors (see below), whose sum is σ = 8736266880. Its totient is φ = 1092306432.

The previous prime is 3385012567. The next prime is 3385012637. The reversal of 3385012632 is 2362105833.

It is a super-2 number, since 2×33850126322 = 22916621037599134848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3385012593 and 3385012602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385012637) 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, 102103 + ... + 131129.

It is an arithmetic number, because the mean of its divisors is an integer number (136504170).

Almost surely, 23385012632 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 3385012632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368133440).

3385012632 is an abundant number, since it is smaller than the sum of its proper divisors (5351254248).

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

3385012632 is a wasteful number, since it uses less digits than its factorization.

3385012632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29192 (or 29188 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3385012632 is about 58180.8613892919. The cubic root of 3385012632 is about 1501.4818884113.

The spelling of 3385012632 in words is "three billion, three hundred eighty-five million, twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 113 129 172 226 258 339 344 452 516 678 904 1032 1356 2712 4859 9718 14577 19436 29027 29154 38872 58054 58308 87081 116108 116616 174162 232216 348324 696648 1248161 2496322 3280051 3744483 4992644 6560102 7488966 9840153 9985288 13120204 14977932 19680306 26240408 29955864 39360612 78721224 141042193 282084386 423126579 564168772 846253158 1128337544 1692506316 3385012632