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74144808 = 2334313691
BaseRepresentation
bin1000110101101…
…01110000101000
312011111221120000
410122311300220
5122440113213
611205103000
71560135423
oct432656050
9164457500
1074144808
1138942101
12209b7a60
131249028a
149bc09ba
156798c73
hex46b5c28

74144808 has 80 divisors (see below), whose sum is σ = 214431360. Its totient is φ = 23911200.

The previous prime is 74144797. The next prime is 74144809. The reversal of 74144808 is 80844147.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (74144809) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18243 + ... + 21933.

It is an arithmetic number, because the mean of its divisors is an integer number (2680392).

Almost surely, 274144808 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 74144808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107215680).

74144808 is an abundant number, since it is smaller than the sum of its proper divisors (140286552).

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

74144808 is a wasteful number, since it uses less digits than its factorization.

74144808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 74144808 is about 8610.7379474700. The cubic root of 74144808 is about 420.1073195139.

The spelling of 74144808 in words is "seventy-four million, one hundred forty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 3691 5022 6696 7382 10044 11073 14764 20088 22146 29528 33219 44292 66438 88584 99657 114421 132876 199314 228842 265752 298971 343263 398628 457684 597942 686526 797256 915368 1029789 1195884 1373052 2059578 2391768 2746104 3089367 4119156 6178734 8238312 9268101 12357468 18536202 24714936 37072404 74144808