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134043984 = 2434293353
BaseRepresentation
bin1111111110101…
…01100101010000
3100100020010210000
413333111211100
5233303401414
621145010000
73215232534
oct777254520
9310203700
10134043984
1169734258
1238a83900
1321a03389
1413b33bc4
15bb7bb09
hex7fd5950

134043984 has 100 divisors (see below), whose sum is σ = 390389076. Its totient is φ = 44402688.

The previous prime is 134043983. The next prime is 134044037. The reversal of 134043984 is 489340431.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 37454400 = 9828^2 + 6120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134043983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379552 + ... + 379904.

Almost surely, 2134043984 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 134043984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195194538).

134043984 is an abundant number, since it is smaller than the sum of its proper divisors (256345092).

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

134043984 is a wasteful number, since it uses less digits than its factorization.

134043984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 134043984 is about 11577.7365663587. The cubic root of 134043984 is about 511.7789776813.

The spelling of 134043984 in words is "one hundred thirty-four million, forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 293 324 353 432 586 648 706 879 1059 1172 1296 1412 1758 2118 2344 2637 2824 3177 3516 4236 4688 5274 5648 6354 7032 7911 8472 9531 10548 12708 14064 15822 16944 19062 21096 23733 25416 28593 31644 38124 42192 47466 50832 57186 63288 76248 94932 103429 114372 126576 152496 189864 206858 228744 310287 379728 413716 457488 620574 827432 930861 1241148 1654864 1861722 2482296 2792583 3723444 4964592 5585166 7446888 8377749 11170332 14893776 16755498 22340664 33510996 44681328 67021992 134043984