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134790336 = 2632241971
BaseRepresentation
bin10000000100010…
…11110011000000
3100101122001120200
420002023303000
5234001242321
621213005200
73224461512
oct1002136300
9311561520
10134790336
116a0a3a7a
1239183800
1321c04cc5
1413c89bb2
15bc77d26
hex808bcc0

134790336 has 84 divisors (see below), whose sum is σ = 388354824. Its totient is φ = 44697600.

The previous prime is 134790323. The next prime is 134790367. The reversal of 134790336 is 633097431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134790336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138331 + ... + 139301.

Almost surely, 2134790336 is an apocalyptic number.

134790336 is a gapful number since it is divisible by the number (16) 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 134790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194177412).

134790336 is an abundant number, since it is smaller than the sum of its proper divisors (253564488).

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

134790336 is a wasteful number, since it uses less digits than its factorization.

134790336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 134790336 is about 11609.9240307592. The cubic root of 134790336 is about 512.7270757369.

The spelling of 134790336 in words is "one hundred thirty-four million, seven hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 964 971 1446 1928 1942 2169 2892 2913 3856 3884 4338 5784 5826 7712 7768 8676 8739 11568 11652 15424 15536 17352 17478 23136 23304 31072 34704 34956 46272 46608 62144 69408 69912 93216 138816 139824 186432 234011 279648 468022 559296 702033 936044 1404066 1872088 2106099 2808132 3744176 4212198 5616264 7488352 8424396 11232528 14976704 16848792 22465056 33697584 44930112 67395168 134790336