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74342664 = 23331167467
BaseRepresentation
bin1000110111001…
…10000100001000
312011212222222000
410123212010020
5123012431124
611213231000
71561621314
oct433460410
9164788860
1074342664
1138a67820
1220a92460
131252c356
149c32b44
1567d76c9
hex46e6108

74342664 has 128 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 22144320.

The previous prime is 74342663. The next prime is 74342669. The reversal of 74342664 is 46624347.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74342663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158959 + ... + 159425.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 274342664 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 74342664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

74342664 is an abundant number, since it is smaller than the sum of its proper divisors (154790136).

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

74342664 is a wasteful number, since it uses less digits than its factorization.

74342664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 74342664 is about 8622.2192038941. The cubic root of 74342664 is about 420.4806741665.

The spelling of 74342664 in words is "seventy-four million, three hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 67 72 88 99 108 132 134 198 201 216 264 268 297 396 402 467 536 594 603 737 792 804 934 1188 1206 1401 1474 1608 1809 1868 2211 2376 2412 2802 2948 3618 3736 4203 4422 4824 5137 5604 5896 6633 7236 8406 8844 10274 11208 12609 13266 14472 15411 16812 17688 19899 20548 25218 26532 30822 31289 33624 39798 41096 46233 50436 53064 61644 62578 79596 92466 93867 100872 123288 125156 138699 159192 184932 187734 250312 277398 281601 344179 369864 375468 554796 563202 688358 750936 844803 1032537 1109592 1126404 1376716 1689606 2065074 2252808 2753432 3097611 3379212 4130148 6195222 6758424 8260296 9292833 12390444 18585666 24780888 37171332 74342664