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74194164 = 223311192173
BaseRepresentation
bin1000110110000…
…01110011110100
312011121110021000
410123001303310
5122443203124
611210123300
71560432342
oct433016364
9164543230
1074194164
11389761a0
1220a20530
13124a9895
149bd4992
1567a86c9
hex46c1cf4

74194164 has 144 divisors (see below), whose sum is σ = 222747840. Its totient is φ = 21176640.

The previous prime is 74194163. The next prime is 74194181. The reversal of 74194164 is 46149147.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74194163) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 428782 + ... + 428954.

It is an arithmetic number, because the mean of its divisors is an integer number (1546860).

Almost surely, 274194164 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 74194164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111373920).

74194164 is an abundant number, since it is smaller than the sum of its proper divisors (148553676).

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

74194164 is a wasteful number, since it uses less digits than its factorization.

74194164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 74194164 is about 8613.6034271378. The cubic root of 74194164 is about 420.2005164990.

The spelling of 74194164 in words is "seventy-four million, one hundred ninety-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 173 198 209 228 297 342 346 361 396 418 513 519 594 627 684 692 722 836 1026 1038 1083 1188 1254 1444 1557 1881 1903 2052 2076 2166 2508 3114 3249 3287 3762 3806 3971 4332 4671 5643 5709 6228 6498 6574 7524 7612 7942 9342 9747 9861 11286 11418 11913 12996 13148 15884 17127 18684 19494 19722 22572 22836 23826 29583 34254 35739 36157 38988 39444 47652 51381 59166 62453 68508 71478 72314 88749 102762 107217 108471 118332 124906 142956 144628 177498 187359 205524 214434 216942 249812 325413 354996 374718 428868 433884 562077 650826 686983 749436 976239 1124154 1301652 1373966 1686231 1952478 2060949 2248308 2747932 3372462 3904956 4121898 6182847 6744924 8243796 12365694 18548541 24731388 37097082 74194164