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1334087552 = 2778317939
BaseRepresentation
bin100111110000100…
…1000111110000000
310102222022200002002
41033201020332000
510213011300202
6340214043132
745026362040
oct11741107600
93388280062
101334087552
1162506a7a6
123129494a8
13183511625
14c9275720
157c1c5302
hex4f848f80

1334087552 has 64 divisors (see below), whose sum is σ = 3074198400. Its totient is φ = 564831744.

The previous prime is 1334087533. The next prime is 1334087581. The reversal of 1334087552 is 2557804331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65399 + ... + 83337.

It is an arithmetic number, because the mean of its divisors is an integer number (48034350).

Almost surely, 21334087552 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 1334087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537099200).

1334087552 is an abundant number, since it is smaller than the sum of its proper divisors (1740110848).

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

1334087552 is an equidigital number, since it uses as much as digits as its factorization.

1334087552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18043 (or 18031 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 1334087552 is about 36525.1632713668. The cubic root of 1334087552 is about 1100.8499084434.

The spelling of 1334087552 in words is "one billion, three hundred thirty-four million, eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 332 448 581 664 896 1162 1328 2324 2656 4648 5312 9296 10624 17939 18592 35878 37184 71756 74368 125573 143512 251146 287024 502292 574048 1004584 1148096 1488937 2009168 2296192 2977874 4018336 5955748 8036672 10422559 11911496 16073344 20845118 23822992 41690236 47645984 83380472 95291968 166760944 190583936 333521888 667043776 1334087552