Search a number
-
+
383232807364 = 2211219214812
BaseRepresentation
bin1011001001110100111…
…01001001000111000100
31100122012011010201202011
411210322131021013010
522234330044313424
6452015453024004
736454603054321
oct5447235110704
91318164121664
10383232807364
11138589a24400
1262333a85004
132a1a594ac94
14147973a5b48
159e7e8ab694
hex593a7491c4

383232807364 has 81 divisors (see below), whose sum is σ = 778534955373. Its totient is φ = 164917051200.

The previous prime is 383232807359. The next prime is 383232807371. The reversal of 383232807364 is 463708232383.

The square root of 383232807364 is 619058.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 164059021764 + 219173785600 = 405042^2 + 468160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 258765504 + ... + 258766984.

Almost surely, 2383232807364 is an apocalyptic number.

383232807364 is the 619058-th square number.

It is an amenable number.

383232807364 is an abundant number, since it is smaller than the sum of its proper divisors (395302148009).

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

383232807364 is a wasteful number, since it uses less digits than its factorization.

383232807364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

Multiplying 383232807364 by its sum of digits (49), we get a square (18778407560836 = 43334062).

The spelling of 383232807364 in words is "three hundred eighty-three billion, two hundred thirty-two million, eight hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 361 418 484 722 836 1444 1481 2299 2962 3971 4598 5924 7942 9196 15884 16291 28139 32582 43681 56278 65164 87362 112556 174724 179201 309529 358402 534641 619058 716804 1069282 1238116 2138564 2193361 3404819 4386722 5881051 6809638 8773444 11762102 13619276 23524204 24126971 41673859 48253942 64691561 83347718 96507884 129383122 166695436 258766244 265396681 458412449 530793362 791803321 916824898 1061586724 1583606642 1833649796 3167213284 5042536939 8709836531 10085073878 17419673062 20170147756 34839346124 95808201841 191616403682 383232807364