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106340808 = 23373731697
BaseRepresentation
bin1100101011010…
…10000111001000
321102002200011110
412111222013020
5204210401213
614315130320
72430611340
oct625520710
9242080143
10106340808
1155032472
122b7439a0
1319053972
14101a1d20
1595085c3
hex656a1c8

106340808 has 64 divisors (see below), whose sum is σ = 304824960. Its totient is φ = 30283776.

The previous prime is 106340807. The next prime is 106340813. The reversal of 106340808 is 808043601.

It is a happy number.

It is a super-2 number, since 2×1063408082 = 22616734892185728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106340807) 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, 61816 + ... + 63512.

It is an arithmetic number, because the mean of its divisors is an integer number (4762890).

Almost surely, 2106340808 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 106340808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152412480).

106340808 is an abundant number, since it is smaller than the sum of its proper divisors (198484152).

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

106340808 is a wasteful number, since it uses less digits than its factorization.

106340808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106340808 is about 10312.1679582908. The cubic root of 106340808 is about 473.7690127730.

The spelling of 106340808 in words is "one hundred six million, three hundred forty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 373 746 1119 1492 1697 2238 2611 2984 3394 4476 5091 5222 6788 7833 8952 10182 10444 11879 13576 15666 20364 20888 23758 31332 35637 40728 47516 62664 71274 95032 142548 285096 632981 1265962 1898943 2531924 3797886 4430867 5063848 7595772 8861734 13292601 15191544 17723468 26585202 35446936 53170404 106340808