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74442304 = 2619292111
BaseRepresentation
bin1000110111111…
…10011001000000
312012002001122101
410123332121000
5123024123204
611215320144
71562514646
oct433763100
9165061571
1074442304
1139025672
1220b20054
1312565801
149c5b196
156806ea4
hex46fe640

74442304 has 56 divisors (see below), whose sum is σ = 160934400. Its totient is φ = 34030080.

The previous prime is 74442271. The next prime is 74442307. The reversal of 74442304 is 40324447.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (74442307) 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 7 ways as a sum of consecutive naturals, for example, 34209 + ... + 36319.

Almost surely, 274442304 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 74442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80467200).

74442304 is an abundant number, since it is smaller than the sum of its proper divisors (86492096).

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

74442304 is a wasteful number, since it uses less digits than its factorization.

74442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 74442304 is about 8627.9953639301. The cubic root of 74442304 is about 420.6684442762.

The spelling of 74442304 in words is "seventy-four million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 928 1102 1216 1856 2111 2204 4222 4408 8444 8816 16888 17632 33776 35264 40109 61219 67552 80218 122438 135104 160436 244876 320872 489752 641744 979504 1163161 1283488 1959008 2326322 2566976 3918016 4652644 9305288 18610576 37221152 74442304