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74740224 = 2931319197
BaseRepresentation
bin1000111010001…
…11001000000000
312012122012022110
410131013020000
5123113141344
611225535320
71565165346
oct435071000
9165565273
1074740224
1139209489
1221044540
131263b2b0
149cd7996
1568653b9
hex4747200

74740224 has 160 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 21676032.

The previous prime is 74740223. The next prime is 74740231. The reversal of 74740224 is 42204747.

It is a super-2 number, since 2×747402242 = 11172202167140352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74740191 and 74740200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74740223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379294 + ... + 379490.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 274740224 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 74740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

74740224 is an abundant number, since it is smaller than the sum of its proper divisors (152120256).

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

74740224 is a wasteful number, since it uses less digits than its factorization.

74740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 74740224 is about 8645.2428537318. The cubic root of 74740224 is about 421.2288726060.

The spelling of 74740224 in words is "seventy-four million, seven hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 197 208 228 247 256 304 312 384 394 416 456 494 512 591 608 624 741 768 788 832 912 988 1182 1216 1248 1482 1536 1576 1664 1824 1976 2364 2432 2496 2561 2964 3152 3328 3648 3743 3952 4728 4864 4992 5122 5928 6304 6656 7296 7486 7683 7904 9456 9728 9984 10244 11229 11856 12608 14592 14972 15366 15808 18912 19968 20488 22458 23712 25216 29184 29944 30732 31616 37824 40976 44916 47424 48659 50432 59888 61464 63232 75648 81952 89832 94848 97318 100864 119776 122928 126464 145977 151296 163904 179664 189696 194636 239552 245856 291954 302592 327808 359328 379392 389272 479104 491712 583908 655616 718656 778544 958208 983424 1167816 1311232 1437312 1557088 1916416 1966848 2335632 2874624 3114176 3933696 4671264 5749248 6228352 9342528 12456704 18685056 24913408 37370112 74740224