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134352624 = 243737101107
BaseRepresentation
bin10000000001000…
…00111011110000
3100100210211011010
420000200323300
5233343240444
621155350520
73220656420
oct1000407360
9310724133
10134352624
116992512a
1238bb2440
1321ab09c3
1413bb4480
15bbdd2b9
hex8020ef0

134352624 has 160 divisors (see below), whose sum is σ = 415259136. Its totient is φ = 36633600.

The previous prime is 134352623. The next prime is 134352643. The reversal of 134352624 is 426253431.

It is a junction number, because it is equal to n+sod(n) for n = 134352591 and 134352600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134352623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255579 + ... + 1255685.

Almost surely, 2134352624 is an apocalyptic number.

134352624 is a gapful number since it is divisible by the number (14) 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 134352624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207629568).

134352624 is an abundant number, since it is smaller than the sum of its proper divisors (280906512).

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

134352624 is a wasteful number, since it uses less digits than its factorization.

134352624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 134352624 is about 11591.0579327342. The cubic root of 134352624 is about 512.1714717009.

The spelling of 134352624 in words is "one hundred thirty-four million, three hundred fifty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 101 107 111 112 148 168 202 214 222 259 296 303 321 336 404 428 444 518 592 606 642 707 749 777 808 856 888 1036 1212 1284 1414 1498 1554 1616 1712 1776 2072 2121 2247 2424 2568 2828 2996 3108 3737 3959 4144 4242 4494 4848 5136 5656 5992 6216 7474 7918 8484 8988 10807 11211 11312 11877 11984 12432 14948 15836 16968 17976 21614 22422 23754 26159 27713 29896 31672 32421 33936 35952 43228 44844 47508 52318 55426 59792 63344 64842 75649 78477 83139 86456 89688 95016 104636 110852 129684 151298 156954 166278 172912 179376 190032 209272 221704 226947 259368 302596 313908 332556 399859 418544 443408 453894 518736 605192 627816 665112 799718 907788 1199577 1210384 1255632 1330224 1599436 1815576 2399154 2799013 3198872 3631152 4798308 5598026 6397744 8397039 9596616 11196052 16794078 19193232 22392104 33588156 44784208 67176312 134352624