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30404232 = 233237101113
BaseRepresentation
bin111001111111…
…0111010001000
32010012200202200
41303332322020
530240413412
63003400200
7516301035
oct163767210
963180680
1030404232
1116187171
12a223060
1363b6c91
14407638c
152a089dc
hex1cfee88

30404232 has 96 divisors (see below), whose sum is σ = 86163480. Its totient is φ = 9676800.

The previous prime is 30404203. The next prime is 30404239. The reversal of 30404232 is 23240403.

30404232 is a `hidden beast` number, since 30 + 404 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29224836 + 1179396 = 5406^2 + 1086^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30404239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269008 + ... + 269120.

Almost surely, 230404232 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 30404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43081740).

30404232 is an abundant number, since it is smaller than the sum of its proper divisors (55759248).

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

30404232 is a wasteful number, since it uses less digits than its factorization.

30404232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30404232 is about 5514.0032644169. The cubic root of 30404232 is about 312.1126319188.

Adding to 30404232 its reverse (23240403), we get a palindrome (53644635).

The spelling of 30404232 in words is "thirty million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 101 111 113 148 202 222 226 296 303 333 339 404 444 452 606 666 678 808 888 904 909 1017 1212 1332 1356 1818 2034 2424 2664 2712 3636 3737 4068 4181 7272 7474 8136 8362 11211 11413 12543 14948 16724 22422 22826 25086 29896 33448 33633 34239 37629 44844 45652 50172 67266 68478 75258 89688 91304 100344 102717 134532 136956 150516 205434 269064 273912 301032 410868 422281 821736 844562 1266843 1689124 2533686 3378248 3800529 5067372 7601058 10134744 15202116 30404232