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321434304 = 26315111087
BaseRepresentation
bin10011001010001…
…011001011000000
3211101211112222020
4103022023023000
51124241344204
651521241440
710652101152
oct2312131300
9741745866
10321434304
11155494394
128b793280
1351794019
1430992ad2
151d344bd9
hex1328b2c0

321434304 has 56 divisors (see below), whose sum is σ = 856171008. Its totient is φ = 106425600.

The previous prime is 321434299. The next prime is 321434339. The reversal of 321434304 is 403434123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23449 + ... + 34535.

It is an arithmetic number, because the mean of its divisors is an integer number (15288768).

Almost surely, 2321434304 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 321434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428085504).

321434304 is an abundant number, since it is smaller than the sum of its proper divisors (534736704).

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

321434304 is a wasteful number, since it uses less digits than its factorization.

321434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11253 (or 11243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 321434304 is about 17928.5890130819. The cubic root of 321434304 is about 685.0107828590.

Adding to 321434304 its reverse (403434123), we get a palindrome (724868427).

The spelling of 321434304 in words is "three hundred twenty-one million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 11087 14496 22174 28992 33261 44348 66522 88696 133044 177392 266088 354784 532176 709568 1064352 1674137 2128704 3348274 5022411 6696548 10044822 13393096 20089644 26786192 40179288 53572384 80358576 107144768 160717152 321434304