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74134080 = 2632525741
BaseRepresentation
bin1000110101100…
…11001001000000
312011111101211200
410122303021000
5122434242310
611204541200
71560062226
oct432631100
9164441750
1074134080
1138935039
12209b1800
1312488427
149bbab16
1567959c0
hex46b3240

74134080 has 84 divisors (see below), whose sum is σ = 255000252. Its totient is φ = 19768320.

The previous prime is 74134069. The next prime is 74134097. The reversal of 74134080 is 8043147.

It can be written as a sum of positive squares in 2 ways, for example, as 39841344 + 34292736 = 6312^2 + 5856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9991 + ... + 15750.

Almost surely, 274134080 is an apocalyptic number.

It is an amenable number.

74134080 is an abundant number, since it is smaller than the sum of its proper divisors (180866172).

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

74134080 is a wasteful number, since it uses less digits than its factorization.

74134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25764 (or 25751 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74134080 is about 8610.1149818106. The cubic root of 74134080 is about 420.0870567837.

The spelling of 74134080 in words is "seventy-four million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 25741 51482 77223 102964 128705 154446 205928 231669 257410 308892 386115 411856 463338 514820 617784 772230 823712 926676 1029640 1158345 1235568 1544460 1647424 1853352 2059280 2316690 2471136 3088920 3706704 4118560 4633380 4942272 6177840 7413408 8237120 9266760 12355680 14826816 18533520 24711360 37067040 74134080