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320134040430 = 235311657207743
BaseRepresentation
bin1001010100010010111…
…10011100101101101110
31010121022200200020220020
410222021132130231232
520221113303243210
6403022331303010
732062135305561
oct4521136345556
91117280606806
10320134040430
1111384a357936
12520642aaa66
132425b2080b9
14116cd15a4d8
1584da0a5770
hex4a8979cb6e

320134040430 has 64 divisors (see below), whose sum is σ = 793588727808. Its totient is φ = 82564980480.

The previous prime is 320134040417. The next prime is 320134040449. The reversal of 320134040430 is 34040431023.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 320134040430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437139 + ... + 1644881.

It is an arithmetic number, because the mean of its divisors is an integer number (12399823872).

Almost surely, 2320134040430 is an apocalyptic number.

320134040430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320134040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396794363904).

320134040430 is an abundant number, since it is smaller than the sum of its proper divisors (473454687378).

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

320134040430 is a wasteful number, since it uses less digits than its factorization.

320134040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209441.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320134040430 its reverse (34040431023), we get a palindrome (354174471453).

The spelling of 320134040430 in words is "three hundred twenty billion, one hundred thirty-four million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1657 3314 4971 8285 9942 16570 24855 49710 51367 102734 154101 207743 256835 308202 415486 513670 623229 770505 1038715 1246458 1541010 2077430 3116145 6232290 6440033 12880066 19320099 32200165 38640198 64400330 96600495 193200990 344230151 688460302 1032690453 1721150755 2065380906 3442301510 5163452265 10326904530 10671134681 21342269362 32013404043 53355673405 64026808086 106711346810 160067020215 320134040430