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134063424 = 2634112351
BaseRepresentation
bin1111111110110…
…10010101000000
3100100021010110000
413333122111000
5233310012144
621145240000
73215343315
oct777322500
9310233400
10134063424
1169747920
1238a93000
1321a0c191
1413b3ad0c
15bb82769
hex7fda540

134063424 has 140 divisors (see below), whose sum is σ = 433718208. Its totient is φ = 40608000.

The previous prime is 134063417. The next prime is 134063431. The reversal of 134063424 is 424360431.

134063424 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 634 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (134063417) and next prime (134063431).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55849 + ... + 58199.

Almost surely, 2134063424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216859104).

134063424 is an abundant number, since it is smaller than the sum of its proper divisors (299654784).

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

134063424 is a wasteful number, since it uses less digits than its factorization.

134063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2367 counting only the distinct ones).

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

The square root of 134063424 is about 11578.5760782576. The cubic root of 134063424 is about 511.8037170793.

The spelling of 134063424 in words is "one hundred thirty-four million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2351 2376 2592 3168 3564 4702 4752 5184 6336 7053 7128 9404 9504 14106 14256 18808 19008 21159 25861 28212 28512 37616 42318 51722 56424 57024 63477 75232 77583 84636 103444 112848 126954 150464 155166 169272 190431 206888 225696 232749 253908 310332 338544 380862 413776 451392 465498 507816 620664 677088 698247 761724 827552 930996 1015632 1241328 1354176 1396494 1523448 1655104 1861992 2031264 2094741 2482656 2792988 3046896 3723984 4062528 4189482 4965312 5585976 6093792 7447968 8378964 11171952 12187584 14895936 16757928 22343904 33515856 44687808 67031712 134063424