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134435840 = 2105711231
BaseRepresentation
bin10000000001101…
…01010000000000
3100100222001022012
420000311100000
5233403421330
621201232052
73221454140
oct1000652000
9310861265
10134435840
1169981700
1239032628
1321b0c846
1413bd6920
15bc07c95
hex8035400

134435840 has 264 divisors, whose sum is σ = 418177536. Its totient is φ = 40550400.

The previous prime is 134435831. The next prime is 134435857. The reversal of 134435840 is 48534431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 134435797 and 134435806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4336625 + ... + 4336655.

Almost surely, 2134435840 is an apocalyptic number.

134435840 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 134435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209088768).

134435840 is an abundant number, since it is smaller than the sum of its proper divisors (283741696).

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

134435840 is a wasteful number, since it uses less digits than its factorization.

134435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 134435840 is about 11594.6470407684. The cubic root of 134435840 is about 512.2771936520.

The spelling of 134435840 in words is "one hundred thirty-four million, four hundred thirty-five thousand, eight hundred forty".