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232321104 = 243211291429
BaseRepresentation
bin11011101100011…
…11000001010000
3121012011010122100
431312033001100
5433433233404
635015240400
75520461001
oct1566170120
9535133570
10232321104
1110a159314
1265979100
1339192912
1422bd71a8
15155e0d39
hexdd8f050

232321104 has 60 divisors (see below), whose sum is σ = 651207700. Its totient is φ = 77317632.

The previous prime is 232321097. The next prime is 232321127. The reversal of 232321104 is 401123232.

It can be written as a sum of positive squares in 2 ways, for example, as 17640000 + 214681104 = 4200^2 + 14652^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161862 + ... + 163290.

Almost surely, 2232321104 is an apocalyptic number.

232321104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232321104 is an abundant number, since it is smaller than the sum of its proper divisors (418886596).

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

232321104 is a wasteful number, since it uses less digits than its factorization.

232321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 232321104 is about 15242.0833221709. The cubic root of 232321104 is about 614.7467210074.

Adding to 232321104 its reverse (401123232), we get a palindrome (633444336).

It can be divided in two parts, 23232 and 1104, that added together give a square (24336 = 1562).

The spelling of 232321104 in words is "two hundred thirty-two million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1129 1429 2258 2858 3387 4287 4516 5716 6774 8574 9032 10161 11432 12861 13548 17148 18064 20322 22864 25722 27096 34296 40644 51444 54192 68592 81288 102888 162576 205776 1613341 3226682 4840023 6453364 9680046 12906728 14520069 19360092 25813456 29040138 38720184 58080276 77440368 116160552 232321104