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134104272 = 2434321511
BaseRepresentation
bin1111111111001…
…00010011010000
3100100100012110220
413333210103100
5233312314042
621150153040
73215603361
oct777442320
9310305426
10134104272
1169775585
1238ab2780
1321a24953
1413b4bb68
15bb8e8ec
hex7fe44d0

134104272 has 60 divisors (see below), whose sum is σ = 354914784. Its totient is φ = 43632960.

The previous prime is 134104247. The next prime is 134104273. The reversal of 134104272 is 272401431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134104273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87997 + ... + 89507.

Almost surely, 2134104272 is an apocalyptic number.

134104272 is a gapful number since it is divisible by the number (12) 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 134104272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177457392).

134104272 is an abundant number, since it is smaller than the sum of its proper divisors (220810512).

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

134104272 is a wasteful number, since it uses less digits than its factorization.

134104272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 134104272 is about 11580.3398913849. The cubic root of 134104272 is about 511.8556925664.

The spelling of 134104272 in words is "one hundred thirty-four million, one hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1511 1849 2064 3022 3698 4533 5547 6044 7396 9066 11094 12088 14792 18132 22188 24176 29584 36264 44376 64973 72528 88752 129946 194919 259892 389838 519784 779676 1039568 1559352 2793839 3118704 5587678 8381517 11175356 16763034 22350712 33526068 44701424 67052136 134104272