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1349021696 = 2121179379
BaseRepresentation
bin101000001101000…
…0111000000000000
310111000102101212112
41100122013000000
510230322143241
6341510114452
745300331601
oct12032070000
93430371775
101349021696
1163253aa70
1231794ba28
1318663ccb9
14cb241da8
157d6751eb
hex50687000

1349021696 has 104 divisors (see below), whose sum is σ = 2988076800. Its totient is φ = 603832320.

The previous prime is 1349021693. The next prime is 1349021701. The reversal of 1349021696 is 6961209431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349021693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3559235 + ... + 3559613.

Almost surely, 21349021696 is an apocalyptic number.

1349021696 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 1349021696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494038400).

1349021696 is an abundant number, since it is smaller than the sum of its proper divisors (1639055104).

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

1349021696 is an equidigital number, since it uses as much as digits as its factorization.

1349021696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 1349021696 is about 36729.0306978009. The cubic root of 1349021696 is about 1104.9424145035.

The spelling of 1349021696 in words is "one billion, three hundred forty-nine million, twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 256 316 352 379 512 632 704 758 869 1024 1264 1408 1516 1738 2048 2528 2816 3032 3476 4096 4169 5056 5632 6064 6952 8338 10112 11264 12128 13904 16676 20224 22528 24256 27808 29941 33352 40448 45056 48512 55616 59882 66704 80896 97024 111232 119764 133408 161792 194048 222464 239528 266816 323584 329351 388096 444928 479056 533632 658702 776192 889856 958112 1067264 1317404 1552384 1779712 1916224 2134528 2634808 3559424 3832448 4269056 5269616 7664896 8538112 10539232 15329792 17076224 21078464 30659584 42156928 61319168 84313856 122638336 168627712 337255424 674510848 1349021696