Search a number
-
+
74364264 = 23331371373
BaseRepresentation
bin1000110111010…
…11010101101000
312011221002121000
410123223111220
5123014124024
611213515000
71562041302
oct433532550
9164832530
1074364264
1138a81a77
1220aa2a60
1312539130
149c3a972
1567ddcc9
hex46eb568

74364264 has 128 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 22498560.

The previous prime is 74364259. The next prime is 74364281. The reversal of 74364264 is 46246347.

74364264 is a `hidden beast` number, since 7 + 4 + 3 + 642 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 199182 + ... + 199554.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 274364264 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 74364264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

74364264 is an abundant number, since it is smaller than the sum of its proper divisors (151830936).

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

74364264 is a wasteful number, since it uses less digits than its factorization.

74364264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 74364264 is about 8623.4716906824. The cubic root of 74364264 is about 420.5213932843.

The spelling of 74364264 in words is "seventy-four million, three hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 71 72 78 104 108 117 142 156 213 216 234 284 312 351 373 426 468 568 639 702 746 852 923 936 1119 1278 1404 1492 1704 1846 1917 2238 2556 2769 2808 2984 3357 3692 3834 4476 4849 5112 5538 6714 7384 7668 8307 8952 9698 10071 11076 13428 14547 15336 16614 19396 20142 22152 24921 26483 26856 29094 33228 38792 40284 43641 49842 52966 58188 66456 79449 80568 87282 99684 105932 116376 130923 158898 174564 199368 211864 238347 261846 317796 344279 349128 476694 523692 635592 688558 715041 953388 1032837 1047384 1377116 1430082 1906776 2065674 2754232 2860164 3098511 4131348 5720328 6197022 8262696 9295533 12394044 18591066 24788088 37182132 74364264