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3223312404 = 22313174212887
BaseRepresentation
bin1100000000011111…
…1101100000010100
322022122020020100220
43000013331200110
523100131444104
61251502434340
7142606463154
oct30007754024
98278206326
103223312404
111404526354
1275b5929b0
133c4a41860
14228136764
1513cea57d9
hexc01fd814

3223312404 has 96 divisors (see below), whose sum is σ = 8599401216. Its totient is φ = 930908160.

The previous prime is 3223312397. The next prime is 3223312409. The reversal of 3223312404 is 4042133223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223312409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1115049 + ... + 1117935.

It is an arithmetic number, because the mean of its divisors is an integer number (89577096).

Almost surely, 23223312404 is an apocalyptic number.

3223312404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223312404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299700608).

3223312404 is an abundant number, since it is smaller than the sum of its proper divisors (5376088812).

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

3223312404 is a wasteful number, since it uses less digits than its factorization.

3223312404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3343 counting only the distinct ones).

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

The square root of 3223312404 is about 56774.2230594132. The cubic root of 3223312404 is about 1477.1824291630.

Adding to 3223312404 its reverse (4042133223), we get a palindrome (7265445627).

The spelling of 3223312404 in words is "three billion, two hundred twenty-three million, three hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 421 442 663 842 884 1263 1326 1684 2526 2652 2887 5052 5473 5774 7157 8661 10946 11548 14314 16419 17322 21471 21892 28628 32838 34644 37531 42942 49079 65676 75062 85884 93041 98158 112593 147237 150124 186082 196316 225186 279123 294474 372164 450372 558246 588948 638027 1116492 1215427 1276054 1914081 2430854 2552108 3646281 3828162 4861708 7292562 7656324 14585124 15800551 20662259 31601102 41324518 47401653 61986777 63202204 82649036 94803306 123973554 189606612 247947108 268609367 537218734 805828101 1074437468 1611656202 3223312404