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1334153430 = 23455927917
BaseRepresentation
bin100111110000101…
…1001000011010110
310102222110000110000
41033201121003112
510213020402210
6340215312130
745030055101
oct11741310326
93388400400
101334153430
11625105245
1231297b646
131835355cc
14c9291738
157c1d9ac0
hex4f8590d6

1334153430 has 80 divisors (see below), whose sum is σ = 3648324240. Its totient is φ = 349731648.

The previous prime is 1334153411. The next prime is 1334153453. The reversal of 1334153430 is 343514331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1334153394 and 1334153403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33832 + ... + 61748.

It is an arithmetic number, because the mean of its divisors is an integer number (45604053).

Almost surely, 21334153430 is an apocalyptic number.

1334153430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334153430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824162120).

1334153430 is an abundant number, since it is smaller than the sum of its proper divisors (2314170810).

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

1334153430 is a wasteful number, since it uses less digits than its factorization.

1334153430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27995 (or 27986 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1334153430 is about 36526.0650768735. The cubic root of 1334153430 is about 1100.8680283428.

Adding to 1334153430 its reverse (343514331), we get a palindrome (1677667761).

The spelling of 1334153430 in words is "one billion, three hundred thirty-four million, one hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 531 590 810 885 1062 1593 1770 2655 3186 4779 5310 7965 9558 15930 23895 27917 47790 55834 83751 139585 167502 251253 279170 418755 502506 753759 837510 1256265 1507518 1647103 2261277 2512530 3294206 3768795 4522554 4941309 7537590 8235515 9882618 11306385 14823927 16471030 22612770 24706545 29647854 44471781 49413090 74119635 88943562 133415343 148239270 222358905 266830686 444717810 667076715 1334153430