Search a number
-
+
74366976 = 21431789
BaseRepresentation
bin1000110111011…
…00000000000000
312011221020022110
410123230000000
5123014220401
611213535320
71562052225
oct433540000
9164836273
1074366976
1138a84012
1220aa4540
131253a438
149c3b94c
1567de9d6
hex46ec000

74366976 has 120 divisors (see below), whose sum is σ = 212330160. Its totient is φ = 23068672.

The previous prime is 74366951. The next prime is 74366977. The reversal of 74366976 is 67966347.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (74366977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835540 + ... + 835628.

It is an arithmetic number, because the mean of its divisors is an integer number (1769418).

Almost surely, 274366976 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 74366976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106165080).

74366976 is an abundant number, since it is smaller than the sum of its proper divisors (137963184).

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

74366976 is an equidigital number, since it uses as much as digits as its factorization.

74366976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 74366976 is about 8623.6289345032. The cubic root of 74366976 is about 420.5265052386.

The spelling of 74366976 in words is "seventy-four million, three hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 89 96 102 128 136 178 192 204 256 267 272 356 384 408 512 534 544 712 768 816 1024 1068 1088 1424 1513 1536 1632 2048 2136 2176 2848 3026 3072 3264 4096 4272 4352 4539 5696 6052 6144 6528 8192 8544 8704 9078 11392 12104 12288 13056 16384 17088 17408 18156 22784 24208 24576 26112 34176 34816 36312 45568 48416 49152 52224 68352 69632 72624 91136 96832 104448 136704 139264 145248 182272 193664 208896 273408 278528 290496 364544 387328 417792 546816 580992 729088 774656 835584 1093632 1161984 1458176 1549312 2187264 2323968 3098624 4374528 4647936 6197248 9295872 12394496 18591744 24788992 37183488 74366976