Search a number
-
+
74096334 = 232132961179
BaseRepresentation
bin1000110101010…
…01111011001110
312011102111001200
410122221323032
5122432040314
611204050330
71556544204
oct432517316
9164374050
1074096334
1138909744
12209939a6
13124741b0
149bab074
156789709
hex46a9ece

74096334 has 96 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 21530880.

The previous prime is 74096303. The next prime is 74096339. The reversal of 74096334 is 43369047.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74096339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413857 + ... + 414035.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 274096334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74096334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

74096334 is an abundant number, since it is smaller than the sum of its proper divisors (108704466).

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

74096334 is a wasteful number, since it uses less digits than its factorization.

74096334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 74096334 is about 8607.9227459359. The cubic root of 74096334 is about 420.0157477089.

The spelling of 74096334 in words is "seventy-four million, ninety-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 61 78 87 117 122 174 179 183 234 261 358 366 377 522 537 549 754 793 1074 1098 1131 1586 1611 1769 2262 2327 2379 3222 3393 3538 4654 4758 5191 5307 6786 6981 7137 10382 10614 10919 13962 14274 15573 15921 20943 21838 22997 31146 31842 32757 41886 45994 46719 65514 67483 68991 93438 98271 134966 137982 141947 196542 202449 206973 283894 316651 404898 413946 425841 607347 633302 851682 949953 1214694 1277523 1899906 2555046 2849859 4116463 5699718 8232926 12349389 24698778 37048167 74096334