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3412893140 = 2251726338167
BaseRepresentation
bin1100101101101100…
…1001110111010100
322210211221221020122
43023123021313110
523442200040030
61322354051112
7150401053526
oct31333116724
98724857218
103412893140
1114a1542148
127b2b79a98
134250bb4c7
142453a5a16
1514e9528e5
hexcb6c9dd4

3412893140 has 48 divisors (see below), whose sum is σ = 7617722112. Its totient is φ = 1279934976.

The previous prime is 3412893097. The next prime is 3412893149. The reversal of 3412893140 is 413982143.

It is a self number, because there is not a number n which added to its sum of digits gives 3412893140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412893149) 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, 70337 + ... + 108503.

It is an arithmetic number, because the mean of its divisors is an integer number (158702544).

Almost surely, 23412893140 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 3412893140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808861056).

3412893140 is an abundant number, since it is smaller than the sum of its proper divisors (4204828972).

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

3412893140 is a wasteful number, since it uses less digits than its factorization.

3412893140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38456 (or 38454 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3412893140 is about 58419.9720985897. The cubic root of 3412893140 is about 1505.5929187730.

The spelling of 3412893140 in words is "three billion, four hundred twelve million, eight hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 263 340 526 1052 1315 2630 4471 5260 8942 17884 22355 38167 44710 76334 89420 152668 190835 381670 648839 763340 1297678 2595356 3244195 6488390 10037921 12976780 20075842 40151684 50189605 100379210 170644657 200758420 341289314 682578628 853223285 1706446570 3412893140