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74309976 = 233213231197
BaseRepresentation
bin1000110110111…
…10000101011000
312011211100010100
410123132011120
5123010404401
611212415400
71561424106
oct433360530
9164740110
1074309976
1138a45204
1220a77560
131251a500
149c24c76
1567ccb86
hex46de158

74309976 has 144 divisors (see below), whose sum is σ = 226100160. Its totient is φ = 22014720.

The previous prime is 74309953. The next prime is 74310001. The reversal of 74309976 is 67990347.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377110 + ... + 377306.

It is an arithmetic number, because the mean of its divisors is an integer number (1570140).

Almost surely, 274309976 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 74309976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113050080).

74309976 is an abundant number, since it is smaller than the sum of its proper divisors (151790184).

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

74309976 is a wasteful number, since it uses less digits than its factorization.

74309976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 74309976 is about 8620.3234278071. The cubic root of 74309976 is about 420.4190375659.

The spelling of 74309976 in words is "seventy-four million, three hundred nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 169 186 197 234 248 279 312 338 372 394 403 468 507 558 591 676 744 788 806 936 1014 1116 1182 1209 1352 1521 1576 1612 1773 2028 2232 2364 2418 2561 3042 3224 3546 3627 4056 4728 4836 5122 5239 6084 6107 7092 7254 7683 9672 10244 10478 12168 12214 14184 14508 15366 15717 18321 20488 20956 23049 24428 29016 30732 31434 33293 36642 41912 46098 47151 48856 54963 61464 62868 66586 73284 79391 92196 94302 99879 109926 125736 133172 146568 158782 184392 188604 199758 219852 238173 266344 299637 317564 377208 399516 439704 476346 599274 635128 714519 799032 952692 1032083 1198548 1429038 1905384 2064166 2397096 2858076 3096249 4128332 5716152 6192498 8256664 9288747 12384996 18577494 24769992 37154988 74309976