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134746404 = 22313319269
BaseRepresentation
bin10000000100000…
…01000100100100
3100101112211022120
420002001010210
5233443341104
621212025540
73224216442
oct1002010444
9311484276
10134746404
116a073a71
12391622b0
1321bbb000
1413c77b92
15bc69cd9
hex8081124

134746404 has 96 divisors (see below), whose sum is σ = 359856000. Its totient is φ = 39132288.

The previous prime is 134746387. The next prime is 134746411. The reversal of 134746404 is 404647431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500782 + ... + 501050.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2134746404 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 134746404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179928000).

134746404 is an abundant number, since it is smaller than the sum of its proper divisors (225109596).

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

134746404 is a wasteful number, since it uses less digits than its factorization.

134746404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 134746404 is about 11608.0318745255. The cubic root of 134746404 is about 512.6713655770.

The spelling of 134746404 in words is "one hundred thirty-four million, seven hundred forty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 269 338 494 507 538 676 741 807 988 1014 1076 1482 1614 2028 2197 2964 3211 3228 3497 4394 5111 6422 6591 6994 8788 9633 10222 10491 12844 13182 13988 15333 19266 20444 20982 26364 30666 38532 41743 41964 45461 61332 66443 83486 90922 125229 132886 136383 166972 181844 199329 250458 265772 272766 398658 500916 545532 590993 797316 863759 1181986 1727518 1772979 2363972 2591277 3455036 3545958 5182554 7091916 10365108 11228867 22457734 33686601 44915468 67373202 134746404