Search a number
-
+
73076336 = 24172311681
BaseRepresentation
bin1000101101100…
…00111001110000
312002111122212222
410112300321300
5122201420321
611130140212
71545065354
oct426607160
9162448788
1073076336
1138282373
1220581668
13121a7b48
1499c3464
1566373ab
hex45b0e70

73076336 has 40 divisors (see below), whose sum is σ = 156445344. Its totient is φ = 32890880.

The previous prime is 73076329. The next prime is 73076351. The reversal of 73076336 is 63367037.

It is a junction number, because it is equal to n+sod(n) for n = 73076296 and 73076305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416 + ... + 12096.

Almost surely, 273076336 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 73076336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78222672).

73076336 is an abundant number, since it is smaller than the sum of its proper divisors (83369008).

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

73076336 is a wasteful number, since it uses less digits than its factorization.

73076336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11729 (or 11723 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 35.

The square root of 73076336 is about 8548.4698045908. The cubic root of 73076336 is about 418.0795465317.

The spelling of 73076336 in words is "seventy-three million, seventy-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 6256 11681 23362 46724 93448 186896 198577 268663 397154 537326 794308 1074652 1588616 2149304 3177232 4298608 4567271 9134542 18269084 36538168 73076336