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74606364 = 223271372161
BaseRepresentation
bin1000111001001…
…10011100011100
312012101101200200
410130212130130
5123044400424
611223023500
71564100160
oct434463434
9165341620
1074606364
1139127958
1220b9ab90
13125c23a1
149ca0ca0
15683a8c9
hex472671c

74606364 has 72 divisors (see below), whose sum is σ = 217203168. Its totient is φ = 21150720.

The previous prime is 74606339. The next prime is 74606381. The reversal of 74606364 is 46360647.

It is a super-2 number, since 2×746063642 = 11132219098600992, which contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 33444 + ... + 35604.

Almost surely, 274606364 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 74606364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108601584).

74606364 is an abundant number, since it is smaller than the sum of its proper divisors (142596804).

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

74606364 is a wasteful number, since it uses less digits than its factorization.

74606364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 74606364 is about 8637.4975542688. The cubic root of 74606364 is about 420.9772482030.

It can be divided in two parts, 7460 and 6364, that added together give a cube (13824 = 243).

The spelling of 74606364 in words is "seventy-four million, six hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2161 2466 2877 3836 4322 4932 5754 6483 8631 8644 11508 12966 15127 17262 19449 25932 30254 34524 38898 45381 60508 77796 90762 136143 181524 272286 296057 544572 592114 888171 1184228 1776342 2072399 2664513 3552684 4144798 5329026 6217197 8289596 10658052 12434394 18651591 24868788 37303182 74606364