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1334501376 = 2133134177
BaseRepresentation
bin100111110001010…
…1110000000000000
310110000002200201220
41033202232000000
510213113021001
6340230555040
745033034365
oct11742560000
93400080656
101334501376
116253226aa
12312b08a80
13183627ab0
14c934246c
157c257c36
hex4f8ae000

1334501376 has 112 divisors (see below), whose sum is σ = 3833097744. Its totient is φ = 410517504.

The previous prime is 1334501359. The next prime is 1334501387. The reversal of 1334501376 is 6731054331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317400 + ... + 321576.

It is an arithmetic number, because the mean of its divisors is an integer number (34224087).

Almost surely, 21334501376 is an apocalyptic number.

1334501376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334501376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916548872).

1334501376 is an abundant number, since it is smaller than the sum of its proper divisors (2498596368).

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

1334501376 is an equidigital number, since it uses as much as digits as its factorization.

1334501376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 1334501376 is about 36530.8277486290. The cubic root of 1334501376 is about 1100.9637218176.

The spelling of 1334501376 in words is "one billion, three hundred thirty-four million, five hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4177 4992 6144 6656 8192 8354 9984 12288 12531 13312 16708 19968 24576 25062 26624 33416 39936 50124 53248 54301 66832 79872 100248 106496 108602 133664 159744 162903 200496 217204 267328 319488 325806 400992 434408 534656 651612 801984 868816 1069312 1303224 1603968 1737632 2138624 2606448 3207936 3475264 4277248 5212896 6415872 6950528 8554496 10425792 12831744 13901056 17108992 20851584 25663488 27802112 34217984 41703168 51326976 55604224 83406336 102653952 111208448 166812672 222416896 333625344 444833792 667250688 1334501376