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8342136 = 2333113511
BaseRepresentation
bin11111110100101001111000
3120200211021000
4133310221320
54113422021
6454445000
7130623045
oct37645170
916624230
108342136
114788630
122963760
13196109a
1411721cc
15aebb26
hex7f4a78

8342136 has 64 divisors (see below), whose sum is σ = 25286400. Its totient is φ = 2527200.

The previous prime is 8342119. The next prime is 8342137. The reversal of 8342136 is 6312438.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8342137) 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, 621 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (395100).

Almost surely, 28342136 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 8342136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12643200).

8342136 is an abundant number, since it is smaller than the sum of its proper divisors (16944264).

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

8342136 is a wasteful number, since it uses less digits than its factorization.

8342136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3527 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 8342136 is about 2888.2756101176. The cubic root of 8342136 is about 202.8114275273.

The spelling of 8342136 in words is "eight million, three hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 3511 7022 10533 14044 21066 28088 31599 38621 42132 63198 77242 84264 94797 115863 126396 154484 189594 231726 252792 308968 347589 379188 463452 695178 758376 926904 1042767 1390356 2085534 2780712 4171068 8342136