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1350045312 = 27371145659
BaseRepresentation
bin101000001111000…
…0000111010000000
310111002100102000020
41100132000322000
510231102422222
6341544053440
745312124110
oct12036007200
93432312006
101350045312
1163307a030
12318164280
1318690aba5
14cb42b040
157d7c865c
hex50780e80

1350045312 has 128 divisors (see below), whose sum is σ = 4471027200. Its totient is φ = 350653440.

The previous prime is 1350045251. The next prime is 1350045317. The reversal of 1350045312 is 2135400531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1350045317) 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, 6739 + ... + 52397.

It is an arithmetic number, because the mean of its divisors is an integer number (34929900).

Almost surely, 21350045312 is an apocalyptic number.

1350045312 is a gapful number since it is divisible by the number (12) 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 1350045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235513600).

1350045312 is an abundant number, since it is smaller than the sum of its proper divisors (3120981888).

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

1350045312 is a wasteful number, since it uses less digits than its factorization.

1350045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45694 (or 45682 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1350045312 is about 36742.9627547916. The cubic root of 1350045312 is about 1105.2218147008.

Adding to 1350045312 its reverse (2135400531), we get a palindrome (3485445843).

The spelling of 1350045312 in words is "one billion, three hundred fifty million, forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 45659 91318 136977 182636 273954 319613 365272 502249 547908 639226 730544 958839 1004498 1095816 1278452 1461088 1506747 1917678 2008996 2191632 2556904 2922176 3013494 3515743 3835356 4017992 4383264 5113808 5844352 6026988 7031486 7670712 8035984 8766528 10227616 10547229 12053976 14062972 15341424 16071968 17533056 20455232 21094458 24107952 28125944 30682848 32143936 40910464 42188916 48215904 56251888 61365696 64287872 84377832 96431808 112503776 122731392 168755664 192863616 225007552 337511328 450015104 675022656 1350045312