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74363328 = 2632139931
BaseRepresentation
bin1000110111010…
…11000111000000
312011221001022100
410123223013000
5123014111303
611213510400
71562035464
oct433530700
9164831270
1074363328
1138a812a6
1220aa2400
1312538890
149c3a4a4
1567dd8a3
hex46eb1c0

74363328 has 84 divisors (see below), whose sum is σ = 229568248. Its totient is φ = 22878720.

The previous prime is 74363323. The next prime is 74363351. The reversal of 74363328 is 82336347.

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 = 74363292 and 74363301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74363323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2523 + ... + 12453.

Almost surely, 274363328 is an apocalyptic number.

74363328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114784124).

74363328 is an abundant number, since it is smaller than the sum of its proper divisors (155204920).

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

74363328 is a wasteful number, since it uses less digits than its factorization.

74363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9962 (or 9949 counting only the distinct ones).

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

The square root of 74363328 is about 8623.4174200255. The cubic root of 74363328 is about 420.5196289526.

It can be divided in two parts, 74363 and 328, that added together give a triangular number (74691 = T386).

The spelling of 74363328 in words is "seventy-four million, three hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 9931 19862 29793 39724 59586 79448 89379 119172 129103 158896 178758 238344 258206 317792 357516 387309 476688 516412 635584 715032 774618 953376 1032824 1161927 1430064 1549236 1906752 2065648 2323854 2860128 3098472 4131296 4647708 5720256 6196944 8262592 9295416 12393888 18590832 24787776 37181664 74363328