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134300826 = 232111374951
BaseRepresentation
bin10000000000101…
…00010010011010
3100100201012002200
420000110102122
5233340111301
621154311030
73220352412
oct1000242232
9310635080
10134300826
116989a220
1238b88476
1321a9325a
1413b9d642
15bbccc86
hex801449a

134300826 has 48 divisors (see below), whose sum is σ = 319819968. Its totient is φ = 40392000.

The previous prime is 134300821. The next prime is 134300843. The reversal of 134300826 is 628003431.

134300826 = T408 + T409 + ... + T955.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 134300826.

It is not an unprimeable number, because it can be changed into a prime (134300821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24651 + ... + 29601.

It is an arithmetic number, because the mean of its divisors is an integer number (6662916).

Almost surely, 2134300826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134300826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159909984).

134300826 is an abundant number, since it is smaller than the sum of its proper divisors (185519142).

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

134300826 is a wasteful number, since it uses less digits than its factorization.

134300826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5104 counting only the distinct ones).

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

The square root of 134300826 is about 11588.8233224948. The cubic root of 134300826 is about 512.1056427720.

The spelling of 134300826 in words is "one hundred thirty-four million, three hundred thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 822 1233 1507 2466 3014 4521 4951 9042 9902 13563 14853 27126 29706 44559 54461 89118 108922 163383 326766 490149 678287 980298 1356574 2034861 4069722 6104583 7461157 12209166 14922314 22383471 44766942 67150413 134300826