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73834332 = 2231113172531
BaseRepresentation
bin1000110011010…
…01111101011100
312010221011122220
410121221331130
5122400144312
611154305340
71554403305
oct431517534
9163834586
1073834332
113874a910
1220888250
13123b1b70
149b3d7ac
156736c8c
hex4669f5c

73834332 has 96 divisors (see below), whose sum is σ = 214389504. Its totient is φ = 19430400.

The previous prime is 73834331. The next prime is 73834379. The reversal of 73834332 is 23343837.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 73834293 and 73834302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73834331) 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, 27907 + ... + 30437.

It is an arithmetic number, because the mean of its divisors is an integer number (2233224).

Almost surely, 273834332 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 73834332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107194752).

73834332 is an abundant number, since it is smaller than the sum of its proper divisors (140555172).

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

73834332 is a wasteful number, since it uses less digits than its factorization.

73834332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2577 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 73834332 is about 8592.6906147027. The cubic root of 73834332 is about 419.5201094840.

The spelling of 73834332 in words is "seventy-three million, eight hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1122 1326 1716 2244 2431 2531 2652 4862 5062 7293 7593 9724 10124 14586 15186 27841 29172 30372 32903 43027 55682 65806 83523 86054 98709 111364 129081 131612 167046 172108 197418 258162 334092 361933 394836 473297 516324 559351 723866 946594 1085799 1118702 1419891 1447732 1678053 1893188 2171598 2237404 2839782 3356106 4343196 5679564 6152861 6712212 12305722 18458583 24611444 36917166 73834332