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74227376 = 2419271181
BaseRepresentation
bin1000110110010…
…01111010110000
312011200010211002
410123021322300
5123000234001
611210541132
71560631226
oct433117260
9164603732
1074227376
1138999143
1220a377a8
13124bba32
149c02b16
1567b346b
hex46c9eb0

74227376 has 60 divisors (see below), whose sum is σ = 154771344. Its totient is φ = 34473600.

The previous prime is 74227367. The next prime is 74227393. The reversal of 74227376 is 67372247.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 410006 + ... + 410186.

Almost surely, 274227376 is an apocalyptic number.

74227376 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74227376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385672).

74227376 is an abundant number, since it is smaller than the sum of its proper divisors (80543968).

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

74227376 is a wasteful number, since it uses less digits than its factorization.

74227376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its digits is 98784, while the sum is 38.

The square root of 74227376 is about 8615.5310921614. The cubic root of 74227376 is about 420.2632061454.

The spelling of 74227376 in words is "seventy-four million, two hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 181 284 304 361 362 568 722 724 1136 1349 1444 1448 2698 2888 2896 3439 5396 5776 6878 10792 12851 13756 21584 25631 25702 27512 51262 51404 55024 65341 102524 102808 130682 205048 205616 244169 261364 410096 488338 522728 976676 1045456 1953352 3906704 4639211 9278422 18556844 37113688 74227376