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134461296 = 2434172359
BaseRepresentation
bin10000000001110…
…11011101110000
3100101000100020000
420000323131300
5233410230141
621201550000
73221621304
oct1000733560
9311010200
10134461296
1169999842
1239045300
1321b1b2c8
1413c01d04
15bc105b6
hex803b770

134461296 has 150 divisors (see below), whose sum is σ = 414560520. Its totient is φ = 42066432.

The previous prime is 134461277. The next prime is 134461297. The reversal of 134461296 is 692164431.

134461296 is a `hidden beast` number, since 1 + 34 + 4 + 612 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134461296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134461297) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 374365 + ... + 374723.

Almost surely, 2134461296 is an apocalyptic number.

134461296 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 134461296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207280260).

134461296 is an abundant number, since it is smaller than the sum of its proper divisors (280099224).

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

134461296 is a wasteful number, since it uses less digits than its factorization.

134461296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 381 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 134461296 is about 11595.7447367558. The cubic root of 134461296 is about 512.3095255689.

The spelling of 134461296 in words is "one hundred thirty-four million, four hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 289 306 324 359 408 432 459 578 612 648 718 816 867 918 1077 1156 1224 1296 1377 1436 1734 1836 2154 2312 2448 2601 2754 2872 3231 3468 3672 4308 4624 5202 5508 5744 6103 6462 6936 7344 7803 8616 9693 10404 11016 12206 12924 13872 15606 17232 18309 19386 20808 22032 23409 24412 25848 29079 31212 36618 38772 41616 46818 48824 51696 54927 58158 62424 73236 77544 93636 97648 103751 109854 116316 124848 146472 155088 164781 187272 207502 219708 232632 292944 311253 329562 374544 415004 439416 465264 494343 622506 659124 830008 878832 933759 988686 1245012 1318248 1660016 1867518 1977372 2490024 2636496 2801277 3735036 3954744 4980048 5602554 7470072 7909488 8403831 11205108 14940144 16807662 22410216 33615324 44820432 67230648 134461296