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312340401330 = 23534952157259
BaseRepresentation
bin1001000101110001111…
…00000100110010110010
31002212012112120100221020
410202320330010302302
520104133120320310
6355253122440310
731365041414646
oct4427074046262
91085175510836
10312340401330
11110510017491
125064a203096
13235b8668629
141119004cc26
1581d0c6e170
hex48b8f04cb2

312340401330 has 64 divisors (see below), whose sum is σ = 753220944000. Its totient is φ = 82891261440.

The previous prime is 312340401323. The next prime is 312340401337. The reversal of 312340401330 is 33104043213.

It is an interprime number because it is at equal distance from previous prime (312340401323) and next prime (312340401337).

It is a self number, because there is not a number n which added to its sum of digits gives 312340401330.

It is not an unprimeable number, because it can be changed into a prime (312340401337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5426241 + ... + 5483499.

It is an arithmetic number, because the mean of its divisors is an integer number (11769077250).

Almost surely, 2312340401330 is an apocalyptic number.

312340401330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312340401330 is an abundant number, since it is smaller than the sum of its proper divisors (440880542670).

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

312340401330 is a wasteful number, since it uses less digits than its factorization.

312340401330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58139.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312340401330 its reverse (33104043213), we get a palindrome (345444444543).

The spelling of 312340401330 in words is "three hundred twelve billion, three hundred forty million, four hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 349 521 698 1042 1047 1563 1745 2094 2605 3126 3490 5210 5235 7815 10470 15630 57259 114518 171777 181829 286295 343554 363658 545487 572590 858885 909145 1090974 1717770 1818290 2727435 5454870 19983391 29831939 39966782 59663878 59950173 89495817 99916955 119900346 149159695 178991634 199833910 298319390 299750865 447479085 599501730 894958170 10411346711 20822693422 31234040133 52056733555 62468080266 104113467110 156170200665 312340401330