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134324040 = 23351398053
BaseRepresentation
bin10000000000110…
…01111101001000
3100100202100221110
420000121331020
5233341332130
621155010320
73220510164
oct1000317510
9310670843
10134324040
1169905704
1238b999a0
1321aa09a6
1413ba7ca4
15bbd4ab0
hex8019f48

134324040 has 64 divisors (see below), whose sum is σ = 405921600. Its totient is φ = 35557632.

The previous prime is 134324039. The next prime is 134324063. The reversal of 134324040 is 40423431.

It is a junction number, because it is equal to n+sod(n) for n = 134323998 and 134324016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12654 + ... + 20706.

It is an arithmetic number, because the mean of its divisors is an integer number (6342525).

Almost surely, 2134324040 is an apocalyptic number.

134324040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202960800).

134324040 is an abundant number, since it is smaller than the sum of its proper divisors (271597560).

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

134324040 is a wasteful number, since it uses less digits than its factorization.

134324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 134324040 is about 11589.8248476843. The cubic root of 134324040 is about 512.1351470222.

Adding to 134324040 its reverse (40423431), we get a palindrome (174747471).

The spelling of 134324040 in words is "one hundred thirty-four million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8053 8340 16106 16680 24159 32212 40265 48318 64424 80530 96636 120795 161060 193272 241590 322120 483180 966360 1119367 2238734 3358101 4477468 5596835 6716202 8954936 11193670 13432404 16790505 22387340 26864808 33581010 44774680 67162020 134324040