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74311344 = 243623277
BaseRepresentation
bin1000110110111…
…10011010110000
312011211102000000
410123132122300
5123010430334
611212430000
71561431102
oct433363260
9164742000
1074311344
1138a46238
1220a78300
131251b013
149c25572
1567cd299
hex46de6b0

74311344 has 140 divisors (see below), whose sum is σ = 226067376. Its totient is φ = 23607936.

The previous prime is 74311343. The next prime is 74311357. The reversal of 74311344 is 44311347.

74311344 is a `hidden beast` number, since 7 + 4 + 311 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (74311343) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 268134 + ... + 268410.

Almost surely, 274311344 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 74311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113033688).

74311344 is an abundant number, since it is smaller than the sum of its proper divisors (151756032).

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

74311344 is a wasteful number, since it uses less digits than its factorization.

74311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 74311344 is about 8620.4027748128. The cubic root of 74311344 is about 420.4216174336.

The spelling of 74311344 in words is "seventy-four million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 277 324 368 414 432 486 552 554 621 648 729 828 831 972 1104 1108 1242 1296 1458 1656 1662 1863 1944 2216 2484 2493 2916 3312 3324 3726 3888 4432 4968 4986 5589 5832 6371 6648 7452 7479 9936 9972 11178 11664 12742 13296 14904 14958 16767 19113 19944 22356 22437 25484 29808 29916 33534 38226 39888 44712 44874 50968 57339 59832 67068 67311 76452 89424 89748 101936 114678 119664 134136 134622 152904 172017 179496 201933 229356 268272 269244 305808 344034 358992 403866 458712 516051 538488 688068 807732 917424 1032102 1076976 1376136 1548153 1615464 2064204 2752272 3096306 3230928 4128408 4644459 6192612 8256816 9288918 12385224 18577836 24770448 37155672 74311344