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74320038 = 23313234603
BaseRepresentation
bin1000110111000…
…00100010100110
312011211211221000
410123200202212
5123011220123
611212534130
71561465332
oct433404246
9164754830
1074320038
1138a51821
1220a81346
1312521c70
149c287c2
1567d0b43
hex46e08a6

74320038 has 64 divisors (see below), whose sum is σ = 185633280. Its totient is φ = 21868704.

The previous prime is 74319997. The next prime is 74320049. The reversal of 74320038 is 83002347.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 74319993 and 74320020.

It is a congruent number.

It is an unprimeable number.

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, 13845 + ... + 18447.

It is an arithmetic number, because the mean of its divisors is an integer number (2900520).

Almost surely, 274320038 is an apocalyptic number.

74320038 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74320038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92816640).

74320038 is an abundant number, since it is smaller than the sum of its proper divisors (111313242).

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

74320038 is a wasteful number, since it uses less digits than its factorization.

74320038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74320038 is about 8620.9070288456. The cubic root of 74320038 is about 420.4380124316.

The spelling of 74320038 in words is "seventy-four million, three hundred twenty thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 4603 5382 8073 9206 13809 16146 27618 41427 59839 82854 105869 119678 124281 179517 211738 248562 317607 359034 538551 635214 952821 1077102 1376297 1615653 1905642 2752594 2858463 3231306 4128891 5716926 8257782 12386673 24773346 37160019 74320038