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74453064 = 233717131199
BaseRepresentation
bin1000111000000…
…01000001001000
312012002121101220
410130001001020
5123024444224
611215442040
71562561220
oct434010110
9165077356
1074453064
1139032764
1220b26320
131256a68a
149c61080
15680a279
hex4701048

74453064 has 128 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 19768320.

The previous prime is 74453023. The next prime is 74453087. The reversal of 74453064 is 46035447.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374037 + ... + 374235.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 274453064 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 74453064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

74453064 is an abundant number, since it is smaller than the sum of its proper divisors (153642936).

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

74453064 is a wasteful number, since it uses less digits than its factorization.

74453064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 74453064 is about 8628.6188929631. The cubic root of 74453064 is about 420.6887113114.

The spelling of 74453064 in words is "seventy-four million, four hundred fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 131 136 168 199 204 238 262 357 393 398 408 476 524 597 714 786 796 917 952 1048 1194 1393 1428 1572 1592 1834 2227 2388 2751 2786 2856 3144 3383 3668 4179 4454 4776 5502 5572 6681 6766 7336 8358 8908 10149 11004 11144 13362 13532 15589 16716 17816 20298 22008 23681 26069 26724 27064 31178 33432 40596 46767 47362 52138 53448 62356 71043 78207 81192 93534 94724 104276 124712 142086 156414 182483 187068 189448 208552 284172 312828 364966 374136 443173 547449 568344 625656 729932 886346 1094898 1329519 1459864 1772692 2189796 2659038 3102211 3545384 4379592 5318076 6204422 9306633 10636152 12408844 18613266 24817688 37226532 74453064