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134353984 = 2629191379
BaseRepresentation
bin10000000001000…
…01010001000000
3100100210220000111
420000201101000
5233343311414
621155401104
73220663402
oct1000412100
9310726014
10134353984
1169926156
1238bb3194
1321ab14cb
1413bb4b72
15bbdd8c4
hex8021440

134353984 has 56 divisors (see below), whose sum is σ = 277977600. Its totient is φ = 64350720.

The previous prime is 134353981. The next prime is 134353991. The reversal of 134353984 is 489353431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (134353981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354307 + ... + 354685.

Almost surely, 2134353984 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 134353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

134353984 is an abundant number, since it is smaller than the sum of its proper divisors (143623616).

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

134353984 is a wasteful number, since it uses less digits than its factorization.

134353984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 134353984 is about 11591.1165984990. The cubic root of 134353984 is about 512.1731998667.

The spelling of 134353984 in words is "one hundred thirty-four million, three hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 191 232 379 382 464 758 764 928 1516 1528 1856 3032 3056 5539 6064 6112 10991 11078 12128 12224 21982 22156 24256 43964 44312 72389 87928 88624 144778 175856 177248 289556 351712 354496 579112 703424 1158224 2099281 2316448 4198562 4632896 8397124 16794248 33588496 67176992 134353984