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2534430288 = 2431312731981
BaseRepresentation
bin1001011100010000…
…0101011001010000
320112121222101202110
42113010011121100
520142303232123
61055253345320
7116543205405
oct22704053120
96477871673
102534430288
11109068aa95
125a8938240
133150c5ac0
141a08542ac
15ec77c493
hex97105650

2534430288 has 80 divisors (see below), whose sum is σ = 7106656256. Its totient is φ = 773660160.

The previous prime is 2534430287. The next prime is 2534430313. The reversal of 2534430288 is 8820344352.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534430287) 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, 63258 + ... + 95238.

Almost surely, 22534430288 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 2534430288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553328128).

2534430288 is an abundant number, since it is smaller than the sum of its proper divisors (4572225968).

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

2534430288 is a wasteful number, since it uses less digits than its factorization.

2534430288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32132 (or 32126 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2534430288 is about 50343.1255287154. The cubic root of 2534430288 is about 1363.4109679084.

The spelling of 2534430288 in words is "two billion, five hundred thirty-four million, four hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 508 624 762 1016 1524 1651 2032 3048 3302 4953 6096 6604 9906 13208 19812 26416 31981 39624 63962 79248 95943 127924 191886 255848 383772 415753 511696 767544 831506 1247259 1535088 1663012 2494518 3326024 4061587 4989036 6652048 8123174 9978072 12184761 16246348 19956144 24369522 32492696 48739044 52800631 64985392 97478088 105601262 158401893 194956176 211202524 316803786 422405048 633607572 844810096 1267215144 2534430288