Search a number
-
+
1233190404 = 2232177332749
BaseRepresentation
bin100100110000000…
…1111111000000100
310011221110120012200
41021200033320010
510011144043104
6322211314500
742362642205
oct11140177004
93157416180
101233190404
11583116226
122a4baba30
13168645684
14b9acd5ac
15733e4b39
hex4980fe04

1233190404 has 72 divisors (see below), whose sum is σ = 3306303000. Its totient is φ = 386214912.

The previous prime is 1233190397. The next prime is 1233190423. The reversal of 1233190404 is 4040913321.

It can be written as a sum of positive squares in 4 ways, for example, as 443018304 + 790172100 = 21048^2 + 28110^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447222 + ... + 449970.

It is an arithmetic number, because the mean of its divisors is an integer number (45920875).

Almost surely, 21233190404 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 1233190404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653151500).

1233190404 is an abundant number, since it is smaller than the sum of its proper divisors (2073112596).

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

1233190404 is a wasteful number, since it uses less digits than its factorization.

1233190404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1233190404 is about 35116.8108460891. The cubic root of 1233190404 is about 1072.3668467227.

The spelling of 1233190404 in words is "one billion, two hundred thirty-three million, one hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 733 1466 2199 2749 2932 4398 5498 6597 8247 8796 10996 12461 13194 16494 24741 24922 26388 32988 37383 46733 49482 49844 74766 93466 98964 112149 140199 149532 186932 224298 280398 420597 448596 560796 841194 1682388 2015017 4030034 6045051 8060068 12090102 18135153 24180204 34255289 36270306 68510578 72540612 102765867 137021156 205531734 308297601 411063468 616595202 1233190404