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2534434016 = 251931472861
BaseRepresentation
bin1001011100010000…
…0110010011100000
320112121222120212112
42113010012103200
520142303342031
61055253414452
7116543222312
oct22704062340
96477876775
102534434016
111090692874
125a893a428
133150c76ca
141a08557b2
15ec77d62b
hex971064e0

2534434016 has 96 divisors (see below), whose sum is σ = 5539000320. Its totient is φ = 1136678400.

The previous prime is 2534434003. The next prime is 2534434037. The reversal of 2534434016 is 6104344352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884426 + ... + 887286.

It is an arithmetic number, because the mean of its divisors is an integer number (57697920).

Almost surely, 22534434016 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 2534434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769500160).

2534434016 is an abundant number, since it is smaller than the sum of its proper divisors (3004566304).

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

2534434016 is a wasteful number, since it uses less digits than its factorization.

2534434016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2534434016 is about 50343.1625546111. The cubic root of 2534434016 is about 1363.4116364075.

Adding to 2534434016 its reverse (6104344352), we get a palindrome (8638778368).

The spelling of 2534434016 in words is "two billion, five hundred thirty-four million, four hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 19 31 32 38 47 62 76 94 124 152 188 248 304 376 496 589 608 752 893 992 1178 1457 1504 1786 2356 2861 2914 3572 4712 5722 5828 7144 9424 11444 11656 14288 18848 22888 23312 27683 28576 45776 46624 54359 55366 88691 91552 108718 110732 134467 177382 217436 221464 268934 354764 434872 442928 537868 709528 869744 885856 1075736 1419056 1685129 1739488 2151472 2554873 2838112 3370258 4168477 4302944 5109746 6740516 8336954 10219492 13481032 16673908 20438984 26962064 33347816 40877968 53924128 66695632 79201063 81755936 133391264 158402126 316804252 633608504 1267217008 2534434016