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321142404 = 2231129431951
BaseRepresentation
bin10011001001000…
…011111010000100
3211101021201120010
4103021003322010
51124203024104
651511110220
710646444142
oct2311037204
9741251503
10321142404
11155305050
128b672370
13516c11bb
1430918592
151d2d8489
hex13243e84

321142404 has 96 divisors (see below), whose sum is σ = 865751040. Its totient is φ = 91728000.

The previous prime is 321142387. The next prime is 321142411. The reversal of 321142404 is 404241123.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163629 + ... + 165579.

It is an arithmetic number, because the mean of its divisors is an integer number (9018240).

Almost surely, 2321142404 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 321142404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432875520).

321142404 is an abundant number, since it is smaller than the sum of its proper divisors (544608636).

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

321142404 is a wasteful number, since it uses less digits than its factorization.

321142404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 321142404 is about 17920.4465346151. The cubic root of 321142404 is about 684.8033633822.

Adding to 321142404 its reverse (404241123), we get a palindrome (725383527).

The spelling of 321142404 in words is "three hundred twenty-one million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 29 33 43 44 58 66 86 87 116 129 132 172 174 258 319 348 473 516 638 946 957 1247 1276 1419 1892 1914 1951 2494 2838 3741 3828 3902 4988 5676 5853 7482 7804 11706 13717 14964 21461 23412 27434 41151 42922 54868 56579 64383 82302 83893 85844 113158 128766 164604 167786 169737 226316 251679 257532 335572 339474 503358 622369 678948 922823 1006716 1244738 1845646 1867107 2432897 2489476 2768469 3691292 3734214 4865794 5536938 7298691 7468428 9731588 11073876 14597382 26761867 29194764 53523734 80285601 107047468 160571202 321142404