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134614032 = 24372317419
BaseRepresentation
bin10000000011000…
…00110000010000
3100101022002201220
420001200300100
5233430122112
621205125040
73223125510
oct1001406020
9311262656
10134614032
1169a93573
12390b9780
1321b72997
1413c41840
15bc4098c
hex8060c10

134614032 has 80 divisors (see below), whose sum is σ = 414735360. Its totient is φ = 36786816.

The previous prime is 134613959. The next prime is 134614043. The reversal of 134614032 is 230416431.

It is a super-2 number, since 2×1346140322 = 36241875222594048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 134613993 and 134614011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982 + ... + 16437.

It is an arithmetic number, because the mean of its divisors is an integer number (5184192).

Almost surely, 2134614032 is an apocalyptic number.

134614032 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 134614032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207367680).

134614032 is an abundant number, since it is smaller than the sum of its proper divisors (280121328).

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

134614032 is a wasteful number, since it uses less digits than its factorization.

134614032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17460 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 134614032 is about 11602.3287317676. The cubic root of 134614032 is about 512.5034314266.

The spelling of 134614032 in words is "one hundred thirty-four million, six hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 17419 34838 52257 69676 104514 121933 139352 209028 243866 278704 365799 400637 418056 487732 731598 801274 836112 975464 1201911 1463196 1602548 1950928 2403822 2804459 2926392 3205096 4807644 5608918 5852784 6410192 8413377 9615288 11217836 16826754 19230576 22435672 33653508 44871344 67307016 134614032