Search a number
-
+
74108088 = 23331033331
BaseRepresentation
bin1000110101011…
…00110010111000
312011110002012000
410122230302320
5122432424323
611204221000
71556623365
oct432546270
9164402160
1074108088
113891755a
122099a760
1312479652
149bb146c
15678ce43
hex46accb8

74108088 has 64 divisors (see below), whose sum is σ = 207916800. Its totient is φ = 24455520.

The previous prime is 74108081. The next prime is 74108101. The reversal of 74108088 is 88080147.

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 (74108081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20583 + ... + 23913.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 274108088 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 74108088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103958400).

74108088 is an abundant number, since it is smaller than the sum of its proper divisors (133808712).

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

74108088 is a wasteful number, since it uses less digits than its factorization.

74108088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 74108088 is about 8608.6054619781. The cubic root of 74108088 is about 420.0379557535.

The spelling of 74108088 in words is "seventy-four million, one hundred eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1854 2472 2781 3331 3708 5562 6662 7416 9993 11124 13324 19986 22248 26648 29979 39972 59958 79944 89937 119916 179874 239832 343093 359748 686186 719496 1029279 1372372 2058558 2744744 3087837 4117116 6175674 8234232 9263511 12351348 18527022 24702696 37054044 74108088