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1342914104 = 237592832
BaseRepresentation
bin101000000001011…
…0011111000111000
310110120221002211102
41100002303320320
510222241222404
6341131150532
745164403320
oct12002637070
93416832742
101342914104
1162a049274
123158a5448
131852b203c
14ca4d2280
157cd6a71e
hex500b3e38

1342914104 has 72 divisors (see below), whose sum is σ = 2962967160. Its totient is φ = 558963168.

The previous prime is 1342914061. The next prime is 1342914109. The reversal of 1342914104 is 4014192431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342914109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16179647 + ... + 16179729.

Almost surely, 21342914104 is an apocalyptic number.

1342914104 is a gapful number since it is divisible by the number (14) 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 1342914104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481483580).

1342914104 is an abundant number, since it is smaller than the sum of its proper divisors (1620053056).

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

1342914104 is an frugal number, since it uses more digits than its factorization.

1342914104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1342914104 is about 36645.7924460640. The cubic root of 1342914104 is about 1103.2723777007.

The spelling of 1342914104 in words is "one billion, three hundred forty-two million, nine hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 59 83 118 166 236 332 413 472 581 664 826 1162 1652 2324 3304 3481 4648 4897 6889 6962 9794 13778 13924 19588 24367 27556 27848 34279 39176 48223 48734 55112 68558 96446 97468 137116 192892 194936 274232 288923 385784 406451 577846 812902 1155692 1625804 2022461 2311384 2845157 3251608 4044922 5690314 8089844 11380628 16179688 22761256 23980609 47961218 95922436 167864263 191844872 335728526 671457052 1342914104