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1349700864 = 2833794637
BaseRepresentation
bin101000001110010…
…1100110100000000
310111001200220111220
41100130230310000
510231010411424
6341532435040
745306160641
oct12034546400
93431626456
101349700864
11632964266
12318018a80
1318681a185
14cb37b6c8
157d75b579
hex5072cd00

1349700864 has 72 divisors (see below), whose sum is σ = 3602427360. Its totient is φ = 448616448.

The previous prime is 1349700857. The next prime is 1349700871. The reversal of 1349700864 is 4680079431.

It is an interprime number because it is at equal distance from previous prime (1349700857) and next prime (1349700871).

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, 288754 + ... + 293390.

Almost surely, 21349700864 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 1349700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801213680).

1349700864 is an abundant number, since it is smaller than the sum of its proper divisors (2252726496).

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

1349700864 is an equidigital number, since it uses as much as digits as its factorization.

1349700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1349700864 is about 36738.2751908687. The cubic root of 1349700864 is about 1105.1278119734.

The spelling of 1349700864 in words is "one billion, three hundred forty-nine million, seven hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 758 768 1137 1516 2274 3032 4548 4637 6064 9096 9274 12128 13911 18192 18548 24256 27822 36384 37096 48512 55644 72768 74192 97024 111288 145536 148384 222576 291072 296768 445152 593536 890304 1187072 1757423 1780608 3514846 3561216 5272269 7029692 10544538 14059384 21089076 28118768 42178152 56237536 84356304 112475072 168712608 224950144 337425216 449900288 674850432 1349700864