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1349246720 = 2859710867
BaseRepresentation
bin101000001101011…
…1101111100000000
310111000211211112202
41100122331330000
510230401343340
6341515012332
745302256623
oct12032757400
93430754482
101349246720
11632684038
12317a3a0a8
131866bb553
14cb29ddba
157d6bbc15
hex506bdf00

1349246720 has 72 divisors (see below), whose sum is σ = 3265486224. Its totient is φ = 534085632.

The previous prime is 1349246713. The next prime is 1349246741. The reversal of 1349246720 is 276429431.

It is a super-2 number, since 2×13492467202 = 3640933422861516800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118727 + ... + 129593.

Almost surely, 21349246720 is an apocalyptic number.

1349246720 is a gapful number since it is divisible by the number (10) 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 1349246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632743112).

1349246720 is an abundant number, since it is smaller than the sum of its proper divisors (1916239504).

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

1349246720 is an equidigital number, since it uses as much as digits as its factorization.

1349246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 1349246720 is about 36732.0938689860. The cubic root of 1349246720 is about 1105.0038478467.

The spelling of 1349246720 in words is "one billion, three hundred forty-nine million, two hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 970 1280 1552 1940 3104 3880 6208 7760 10867 12416 15520 21734 24832 31040 43468 54335 62080 86936 108670 124160 173872 217340 347744 434680 695488 869360 1054099 1390976 1738720 2108198 2781952 3477440 4216396 5270495 6954880 8432792 10540990 13909760 16865584 21081980 33731168 42163960 67462336 84327920 134924672 168655840 269849344 337311680 674623360 1349246720