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74732328 = 23331171443
BaseRepresentation
bin1000111010001…
…01001100101000
312012121210111000
410131011030220
5123112413303
611225435000
71565133336
oct435051450
9165553430
1074732328
1139203560
122103ba60
1312637818
149cd4b56
156862da3
hex4745328

74732328 has 128 divisors (see below), whose sum is σ = 230169600. Its totient is φ = 22276800.

The previous prime is 74732327. The next prime is 74732347. The reversal of 74732328 is 82323747.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 74732292 and 74732301.

It is not an unprimeable number, because it can be changed into a prime (74732327) by changing a digit.

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, 168475 + ... + 168917.

It is an arithmetic number, because the mean of its divisors is an integer number (1798200).

Almost surely, 274732328 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 74732328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115084800).

74732328 is an abundant number, since it is smaller than the sum of its proper divisors (155437272).

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

74732328 is a wasteful number, since it uses less digits than its factorization.

74732328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 74732328 is about 8644.7861743365. The cubic root of 74732328 is about 421.2140383792.

It can be divided in two parts, 7473 and 2328, that added together give a square (9801 = 992).

The spelling of 74732328 in words is "seventy-four million, seven hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 88 99 108 132 142 198 213 216 264 284 297 396 426 443 568 594 639 781 792 852 886 1188 1278 1329 1562 1704 1772 1917 2343 2376 2556 2658 3124 3544 3834 3987 4686 4873 5112 5316 6248 7029 7668 7974 9372 9746 10632 11961 14058 14619 15336 15948 18744 19492 21087 23922 28116 29238 31453 31896 38984 42174 43857 47844 56232 58476 62906 84348 87714 94359 95688 116952 125812 131571 168696 175428 188718 251624 263142 283077 345983 350856 377436 526284 566154 691966 754872 849231 1037949 1052568 1132308 1383932 1698462 2075898 2264616 2767864 3113847 3396924 4151796 6227694 6793848 8303592 9341541 12455388 18683082 24910776 37366164 74732328