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134640324 = 223271373563
BaseRepresentation
bin10000000011001…
…11001011000100
3100101100102210200
420001213023010
5233431442244
621205450500
73223265250
oct1001471304
9311312720
10134640324
116a0012a5
1239110a30
1321b81940
1413c4b260
15bc48669
hex80672c4

134640324 has 144 divisors (see below), whose sum is σ = 425373312. Its totient is φ = 34960896.

The previous prime is 134640313. The next prime is 134640329. The reversal of 134640324 is 423046431.

134640324 is a `hidden beast` number, since 13 + 4 + 640 + 3 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (134640329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238867 + ... + 239429.

Almost surely, 2134640324 is an apocalyptic number.

134640324 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 134640324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212686656).

134640324 is an abundant number, since it is smaller than the sum of its proper divisors (290732988).

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

134640324 is a wasteful number, since it uses less digits than its factorization.

134640324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 134640324 is about 11603.4617248475. The cubic root of 134640324 is about 512.5367956132.

Adding to 134640324 its reverse (423046431), we get a palindrome (557686755).

The spelling of 134640324 in words is "one hundred thirty-four million, six hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 73 78 84 91 117 126 146 156 182 219 234 252 273 292 364 438 468 511 546 563 657 819 876 949 1022 1092 1126 1314 1533 1638 1689 1898 2044 2252 2628 2847 3066 3276 3378 3796 3941 4599 5067 5694 6132 6643 6756 7319 7882 8541 9198 10134 11388 11823 13286 14638 15764 17082 18396 19929 20268 21957 23646 26572 29276 34164 35469 39858 41099 43914 47292 51233 59787 65871 70938 79716 82198 87828 102466 119574 123297 131742 141876 153699 164396 204932 239148 246594 263484 287693 307398 369891 461097 493188 534287 575386 614796 739782 863079 922194 1068574 1150772 1479564 1602861 1726158 1844388 2137148 2589237 3205722 3452316 3740009 4808583 5178474 6411444 7480018 9617166 10356948 11220027 14960036 19234332 22440054 33660081 44880108 67320162 134640324