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134295408 = 2435132657
BaseRepresentation
bin10000000000100…
…10111101110000
3100100200220200000
420000102331300
5233334423113
621154230000
73220330542
oct1000227560
9310626600
10134295408
1169896145
1238b85300
1321a90950
1413b9b692
15bbcb373
hex8012f70

134295408 has 120 divisors (see below), whose sum is σ = 419900208. Its totient is φ = 41306112.

The previous prime is 134295389. The next prime is 134295409. The reversal of 134295408 is 804592431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134295409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49216 + ... + 51872.

Almost surely, 2134295408 is an apocalyptic number.

134295408 is a gapful number since it is divisible by the number (18) 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 134295408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209950104).

134295408 is an abundant number, since it is smaller than the sum of its proper divisors (285604800).

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

134295408 is a wasteful number, since it uses less digits than its factorization.

134295408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 134295408 is about 11588.5895604254. The cubic root of 134295408 is about 512.0987561782.

The spelling of 134295408 in words is "one hundred thirty-four million, two hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2657 2808 3159 3888 4212 5314 5616 6318 7971 8424 10628 12636 15942 16848 21256 23913 25272 31884 34541 42512 47826 50544 63768 69082 71739 95652 103623 127536 138164 143478 191304 207246 215217 276328 286956 310869 382608 414492 430434 552656 573912 621738 645651 828984 860868 932607 1147824 1243476 1291302 1657968 1721736 1865214 2486952 2582604 2797821 3443472 3730428 4973904 5165208 5595642 7460856 8393463 10330416 11191284 14921712 16786926 22382568 33573852 44765136 67147704 134295408