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534940320 = 25353373307
BaseRepresentation
bin11111111000101…
…000101010100000
31101021120210011110
4133320220222200
52043421042240
6125025343320
716153626525
oct3770505240
91337523143
10534940320
11254a61642
1212b197b40
1386a99945
145108d14c
1531e6ac80
hex1fe28aa0

534940320 has 96 divisors (see below), whose sum is σ = 1690573248. Its totient is φ = 142184448.

The previous prime is 534940319. The next prime is 534940327. The reversal of 534940320 is 23049435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5349403202 = 572322291923404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (534940327) 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, 160107 + ... + 163413.

It is an arithmetic number, because the mean of its divisors is an integer number (17610138).

Almost surely, 2534940320 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 534940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845286624).

534940320 is an abundant number, since it is smaller than the sum of its proper divisors (1155632928).

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

534940320 is a wasteful number, since it uses less digits than its factorization.

534940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 534940320 is about 23128.7768807605. The cubic root of 534940320 is about 811.7739508442.

Adding to 534940320 its reverse (23049435), we get a palindrome (557989755).

The spelling of 534940320 in words is "five hundred thirty-four million, nine hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 337 480 674 1011 1348 1685 2022 2696 3307 3370 4044 5055 5392 6614 6740 8088 9921 10110 10784 13228 13480 16176 16535 19842 20220 26456 26960 32352 33070 39684 40440 49605 52912 53920 66140 79368 80880 99210 105824 132280 158736 161760 198420 264560 317472 396840 529120 793680 1114459 1587360 2228918 3343377 4457836 5572295 6686754 8915672 11144590 13373508 16716885 17831344 22289180 26747016 33433770 35662688 44578360 53494032 66867540 89156720 106988064 133735080 178313440 267470160 534940320