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3410000013 = 37310730971
BaseRepresentation
bin1100101101000000…
…0111100010001101
322210122111221121210
43023100013202031
523440430000023
61322212045033
7150334344000
oct31320074215
98718457553
103410000013
11149a946532
127b2003779
134246176b4
14244c51537
1514e580593
hexcb40788d

3410000013 has 32 divisors (see below), whose sum is σ = 5351961600. Its totient is φ = 1930298160.

The previous prime is 3409999993. The next prime is 3410000021. The reversal of 3410000013 is 3100000143.

It is not a de Polignac number, because 3410000013 - 26 = 3409999949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94618 + ... + 125588.

It is an arithmetic number, because the mean of its divisors is an integer number (167248800).

Almost surely, 23410000013 is an apocalyptic number.

It is an amenable number.

3410000013 is a deficient number, since it is larger than the sum of its proper divisors (1941961587).

3410000013 is a wasteful number, since it uses less digits than its factorization.

3410000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31102 (or 31088 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3410000013 is about 58395.2053939362. The cubic root of 3410000013 is about 1505.1673655588.

Adding to 3410000013 its reverse (3100000143), we get a palindrome (6510000156).

The spelling of 3410000013 in words is "three billion, four hundred ten million, thirteen", and thus it is an aban number.

Divisors: 1 3 7 21 49 107 147 321 343 749 1029 2247 5243 15729 30971 36701 92913 110103 216797 650391 1517579 3313897 4552737 9941691 10623053 23197279 31869159 69591837 162380953 487142859 1136666671 3410000013