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74368260 = 22335413359
BaseRepresentation
bin1000110111011…
…00010100000100
312011221022002000
410123230110010
5123014241020
611213545300
71562056041
oct433542404
9164838060
1074368260
1138a84a7a
1220aa5230
131253abb5
149c3c1c8
1567e0090
hex46ec504

74368260 has 96 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 19342080.

The previous prime is 74368243. The next prime is 74368271. The reversal of 74368260 is 6286347.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20461 + ... + 23819.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 274368260 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 74368260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

74368260 is an abundant number, since it is smaller than the sum of its proper divisors (162713340).

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

74368260 is a wasteful number, since it uses less digits than its factorization.

74368260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 74368260 is about 8623.7033807988. The cubic root of 74368260 is about 420.5289254568.

The spelling of 74368260 in words is "seventy-four million, three hundred sixty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3359 3690 4428 5535 6718 7380 10077 11070 13436 16795 20154 22140 30231 33590 40308 50385 60462 67180 90693 100770 120924 137719 151155 181386 201540 275438 302310 362772 413157 453465 550876 604620 688595 826314 906930 1239471 1377190 1652628 1813860 2065785 2478942 2754380 3718413 4131570 4957884 6197355 7436826 8263140 12394710 14873652 18592065 24789420 37184130 74368260