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534392320 = 2957112711
BaseRepresentation
bin11111110110100…
…010111000000000
31101020112221110011
4133312202320000
52043301023240
6125005514304
716146155050
oct3766427000
91336487404
10534392320
11254717950
1212ab72994
1386937397
1450d89560
1531dad6ea
hex1fda2e00

534392320 has 160 divisors (see below), whose sum is σ = 1598040576. Its totient is φ = 166502400.

The previous prime is 534392293. The next prime is 534392321. The reversal of 534392320 is 23293435.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534392321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195765 + ... + 198475.

Almost surely, 2534392320 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 534392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799020288).

534392320 is an abundant number, since it is smaller than the sum of its proper divisors (1063648256).

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

534392320 is a wasteful number, since it uses less digits than its factorization.

534392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 534392320 is about 23116.9271314334. The cubic root of 534392320 is about 811.4966587806.

The spelling of 534392320 in words is "five hundred thirty-four million, three hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 512 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2560 2711 2816 3080 3520 3584 4480 4928 5422 5632 6160 7040 8960 9856 10844 12320 13555 14080 17920 18977 19712 21688 24640 27110 28160 29821 37954 39424 43376 49280 54220 59642 75908 86752 94885 98560 108440 119284 149105 151816 173504 189770 197120 208747 216880 238568 298210 303632 347008 379540 417494 433760 477136 596420 607264 694016 759080 834988 867520 954272 1043735 1192840 1214528 1388032 1518160 1669976 1735040 1908544 2087470 2385680 2429056 3036320 3339952 3470080 3817088 4174940 4771360 4858112 6072640 6679904 6940160 7634176 8349880 9542720 9716224 12145280 13359808 15268352 16699760 19085440 24290560 26719616 33399520 38170880 48581120 53439232 66799040 76341760 106878464 133598080 267196160 534392320