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134317332 = 22332322351
BaseRepresentation
bin10000000000110…
…00010100010100
3100100202000202000
420000120110110
5233341123312
621154515300
73220451502
oct1000302424
9310660660
10134317332
1169900666
1238b95b30
1321a9a916
1413ba5672
15bbd2adc
hex8018514

134317332 has 72 divisors (see below), whose sum is σ = 364183680. Its totient is φ = 42807600.

The previous prime is 134317331. The next prime is 134317333. The reversal of 134317332 is 233713431.

134317332 is a `hidden beast` number, since 13 + 4 + 317 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (134317331) and next prime (134317333).

It is a super-2 number, since 2×1343173322 = 36082291351196448, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 134317296 and 134317305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134317331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55957 + ... + 58307.

Almost surely, 2134317332 is an apocalyptic number.

134317332 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 134317332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182091840).

134317332 is an abundant number, since it is smaller than the sum of its proper divisors (229866348).

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

134317332 is a wasteful number, since it uses less digits than its factorization.

134317332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2379 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 134317332 is about 11589.5354522949. The cubic root of 134317332 is about 512.1266217183.

The spelling of 134317332 in words is "one hundred thirty-four million, three hundred seventeen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 529 621 828 1058 1242 1587 2116 2351 2484 3174 4702 4761 6348 7053 9404 9522 14106 14283 19044 21159 28212 28566 42318 54073 57132 63477 84636 108146 126954 162219 216292 253908 324438 486657 648876 973314 1243679 1459971 1946628 2487358 2919942 3731037 4974716 5839884 7462074 11193111 14924148 22386222 33579333 44772444 67158666 134317332