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1349342952 = 233318321851
BaseRepresentation
bin101000001101101…
…0101011011101000
310111001000201112220
41100123111123220
510230412433302
6341521034040
745303140316
oct12033253350
93431021486
101349342952
1163273a371
12317a85920
131867232a9
14cb2c70b6
157d6da4bc
hex506d56e8

1349342952 has 64 divisors (see below), whose sum is σ = 3524290560. Its totient is φ = 430008000.

The previous prime is 1349342947. The next prime is 1349342977. The reversal of 1349342952 is 2592439431.

It is a super-2 number, since 2×13493429522 = 3641452804224148608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50827 + ... + 72677.

It is an arithmetic number, because the mean of its divisors is an integer number (55067040).

Almost surely, 21349342952 is an apocalyptic number.

1349342952 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 1349342952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762145280).

1349342952 is an abundant number, since it is smaller than the sum of its proper divisors (2174947608).

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

1349342952 is a wasteful number, since it uses less digits than its factorization.

1349342952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21974 (or 21970 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 1349342952 is about 36733.4037627879. The cubic root of 1349342952 is about 1105.0301178635.

The spelling of 1349342952 in words is "one billion, three hundred forty-nine million, three hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 83 93 124 166 186 248 249 332 372 498 664 744 996 1992 2573 5146 7719 10292 15438 20584 21851 30876 43702 61752 65553 87404 131106 174808 262212 524424 677381 1354762 1813633 2032143 2709524 3627266 4064286 5419048 5440899 7254532 8128572 10881798 14509064 16257144 21763596 43527192 56222623 112445246 168667869 224890492 337335738 449780984 674671476 1349342952