Search a number
-
+
74023416 = 2333973533
BaseRepresentation
bin1000110100110…
…00000111111000
312011021210001000
410122120013320
5122422222131
611202325000
71556121465
oct432300770
9164253030
1074023416
1138869985
1220959760
1312449c4c
149b8c66c
156772ce6
hex46981f8

74023416 has 64 divisors (see below), whose sum is σ = 207799200. Its totient is φ = 24413184.

The previous prime is 74023363. The next prime is 74023441. The reversal of 74023416 is 61432047.

It is a super-2 number, since 2×740234162 = 10958932232618112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74023416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19186 + ... + 22718.

Almost surely, 274023416 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 74023416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103899600).

74023416 is an abundant number, since it is smaller than the sum of its proper divisors (133775784).

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

74023416 is a wasteful number, since it uses less digits than its factorization.

74023416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3635 counting only the distinct ones).

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

The square root of 74023416 is about 8603.6861867458. The cubic root of 74023416 is about 419.8779237047.

The spelling of 74023416 in words is "seventy-four million, twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 3533 5238 6984 7066 10476 10599 14132 20952 21198 28264 31797 42396 63594 84792 95391 127188 190782 254376 342701 381564 685402 763128 1028103 1370804 2056206 2741608 3084309 4112412 6168618 8224824 9252927 12337236 18505854 24674472 37011708 74023416