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1334082060 = 2232547915473
BaseRepresentation
bin100111110000100…
…0111101000001100
310102222022101112200
41033201013220030
510213011111220
6340214001500
745026340033
oct11741075014
93388271480
101334082060
11625066663
12312946290
1318350bc8c
14c927371a
157c1c3890
hex4f847a0c

1334082060 has 72 divisors (see below), whose sum is σ = 4055425920. Its totient is φ = 354989568.

The previous prime is 1334082047. The next prime is 1334082073. The reversal of 1334082060 is 602804331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1334082047) and next prime (1334082073).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78484 + ... + 93956.

It is an arithmetic number, because the mean of its divisors is an integer number (56325360).

Almost surely, 21334082060 is an apocalyptic number.

1334082060 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 1334082060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027712960).

1334082060 is an abundant number, since it is smaller than the sum of its proper divisors (2721343860).

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

1334082060 is a wasteful number, since it uses less digits than its factorization.

1334082060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15967 (or 15962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1334082060 is about 36525.0880902428. The cubic root of 1334082060 is about 1100.8483978289.

Adding to 1334082060 its reverse (602804331), we get a palindrome (1936886391).

The spelling of 1334082060 in words is "one billion, three hundred thirty-four million, eighty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 479 958 1437 1916 2395 2874 4311 4790 5748 7185 8622 9580 14370 15473 17244 21555 28740 30946 43110 46419 61892 77365 86220 92838 139257 154730 185676 232095 278514 309460 464190 557028 696285 928380 1392570 2785140 7411567 14823134 22234701 29646268 37057835 44469402 66704103 74115670 88938804 111173505 133408206 148231340 222347010 266816412 333520515 444694020 667041030 1334082060