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534866304 = 27371931031
BaseRepresentation
bin11111111000010…
…110100110000000
31101021110000122010
4133320112212000
52043411210204
6125024012520
716153200660
oct3770264600
91337400563
10534866304
11254a10a75
1212b161140
1386a7204b
14510701a0
1531e53d89
hex1fe16980

534866304 has 128 divisors (see below), whose sum is σ = 1633697280. Its totient is φ = 151879680.

The previous prime is 534866303. The next prime is 534866317. The reversal of 534866304 is 403668435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534866303) 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, 518269 + ... + 519299.

It is an arithmetic number, because the mean of its divisors is an integer number (12763260).

Almost surely, 2534866304 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 534866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816848640).

534866304 is an abundant number, since it is smaller than the sum of its proper divisors (1098830976).

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

534866304 is a wasteful number, since it uses less digits than its factorization.

534866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 534866304 is about 23127.1767407957. The cubic root of 534866304 is about 811.7365092644.

The spelling of 534866304 in words is "five hundred thirty-four million, eight hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 193 224 336 384 386 448 579 672 772 896 1031 1158 1344 1351 1544 2062 2316 2688 2702 3088 3093 4053 4124 4632 5404 6176 6186 7217 8106 8248 9264 10808 12352 12372 14434 16212 16496 18528 21616 21651 24704 24744 28868 32424 32992 37056 43232 43302 49488 57736 64848 65984 74112 86464 86604 98976 115472 129696 131968 172928 173208 197952 198983 230944 259392 346416 395904 397966 461888 518784 596949 692832 795932 923776 1193898 1385664 1392881 1591864 2387796 2771328 2785762 3183728 4178643 4775592 5571524 6367456 8357286 9551184 11143048 12734912 16714572 19102368 22286096 25469824 33429144 38204736 44572192 66858288 76409472 89144384 133716576 178288768 267433152 534866304