Search a number
-
+
813184302 = 237229127751
BaseRepresentation
bin110000011110000…
…011010100101110
32002200011001011010
4300132003110232
53131133344202
6212405210050
726102644500
oct6036032456
92080131133
10813184302
11388026447
121a8400926
13cc61ac58
1479ddbd70
154b5cd76c
hex3078352e

813184302 has 96 divisors (see below), whose sum is σ = 1975173120. Its totient is φ = 222264000.

The previous prime is 813184217. The next prime is 813184313. The reversal of 813184302 is 203481318.

It is a super-2 number, since 2×8131843022 = 1322537418038454408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813184302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082427 + ... + 1083177.

It is an arithmetic number, because the mean of its divisors is an integer number (20574720).

Almost surely, 2813184302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813184302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987586560).

813184302 is an abundant number, since it is smaller than the sum of its proper divisors (1161988818).

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

813184302 is a wasteful number, since it uses less digits than its factorization.

813184302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 813184302 is about 28516.3865522966. The cubic root of 813184302 is about 933.3896813203.

The spelling of 813184302 in words is "eight hundred thirteen million, one hundred eighty-four thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 127 147 174 203 254 294 381 406 609 751 762 889 1218 1421 1502 1778 2253 2667 2842 3683 4263 4506 5257 5334 6223 7366 8526 10514 11049 12446 15771 18669 21779 22098 25781 31542 36799 37338 43558 51562 65337 73598 77343 95377 110397 130674 152453 154686 180467 190754 220794 286131 304906 360934 457359 541401 572262 667639 914718 1067171 1082802 1335278 2002917 2134342 2765933 3201513 4005834 4673473 5531866 6403026 8297799 9346946 14020419 16595598 19361531 28040838 38723062 58084593 116169186 135530717 271061434 406592151 813184302