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1354968832 = 2873124391
BaseRepresentation
bin101000011000011…
…0010111100000000
310111102121112210211
41100300302330000
510233333000312
6342241403504
745402021310
oct12060627400
93442545724
101354968832
11635932158
12319939594
13187942c09
14cbd4d440
157de4c3a7
hex50c32f00

1354968832 has 72 divisors (see below), whose sum is σ = 3190863872. Its totient is φ = 561945600.

The previous prime is 1354968773. The next prime is 1354968859. The reversal of 1354968832 is 2388694531.

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, 43357 + ... + 67747.

Almost surely, 21354968832 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 1354968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595431936).

1354968832 is an abundant number, since it is smaller than the sum of its proper divisors (1835895040).

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

1354968832 is an equidigital number, since it uses as much as digits as its factorization.

1354968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24445 (or 24431 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

The square root of 1354968832 is about 36809.9012766946. The cubic root of 1354968832 is about 1106.5637400444.

The spelling of 1354968832 in words is "one billion, three hundred fifty-four million, nine hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 3472 3968 6944 7936 13888 24391 27776 48782 55552 97564 170737 195128 341474 390256 682948 756121 780512 1365896 1512242 1561024 2731792 3024484 3122048 5292847 5463584 6048968 6244096 10585694 10927168 12097936 21171388 21854336 24195872 42342776 43708672 48391744 84685552 96783488 169371104 193566976 338742208 677484416 1354968832