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134049984 = 2632412897
BaseRepresentation
bin1111111110101…
…11000011000000
3100100020110000020
413333113003000
5233304044414
621145053440
73215256165
oct777270300
9310213006
10134049984
1169738812
1238a87280
1321a06023
1413b3606c
15bb7d7a9
hex7fd70c0

134049984 has 56 divisors (see below), whose sum is σ = 356268528. Its totient is φ = 44482560.

The previous prime is 134049961. The next prime is 134049991. The reversal of 134049984 is 489940431.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44824 + ... + 47720.

It is an arithmetic number, because the mean of its divisors is an integer number (6361938).

Almost surely, 2134049984 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 134049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178134264).

134049984 is an abundant number, since it is smaller than the sum of its proper divisors (222218544).

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

134049984 is a wasteful number, since it uses less digits than its factorization.

134049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 134049984 is about 11577.9956814640. The cubic root of 134049984 is about 511.7866135532.

The spelling of 134049984 in words is "one hundred thirty-four million, forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1928 2892 2897 3856 5784 5794 7712 8691 11568 11588 15424 17382 23136 23176 34764 46272 46352 69528 92704 139056 185408 278112 556224 698177 1396354 2094531 2792708 4189062 5585416 8378124 11170832 16756248 22341664 33512496 44683328 67024992 134049984