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323342134344 = 2332223193110429
BaseRepresentation
bin1001011010010001011…
…00010110110001001000
31010220121021021022102100
410231020230112301020
520244201041244334
6404312532033400
732234501536215
oct4551054266110
91126537238370
10323342134344
11115146229319
12527ba762860
132464ca4ba18
1411915250b0c
158626a51c99
hex4b48b16c48

323342134344 has 96 divisors (see below), whose sum is σ = 880185196800. Its totient is φ = 107231541120.

The previous prime is 323342134337. The next prime is 323342134421. The reversal of 323342134344 is 443431243323.

323342134344 is a `hidden beast` number, since 3 + 2 + 3 + 3 + 4 + 213 + 434 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 323342134299 and 323342134308.

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, 30998922 + ... + 31009350.

It is an arithmetic number, because the mean of its divisors is an integer number (9168595800).

Almost surely, 2323342134344 is an apocalyptic number.

It is an amenable number.

323342134344 is an abundant number, since it is smaller than the sum of its proper divisors (556843062456).

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

323342134344 is a wasteful number, since it uses less digits than its factorization.

323342134344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595 (or 12588 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 323342134344 its reverse (443431243323), we get a palindrome (766773377667).

The spelling of 323342134344 in words is "three hundred twenty-three billion, three hundred forty-two million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 1931 2007 2676 3862 4014 5352 5793 7724 8028 10429 11586 15448 16056 17379 20858 23172 31287 34758 41716 46344 62574 69516 83432 93861 125148 139032 187722 250296 375444 430613 750888 861226 1291839 1722452 2325667 2583678 3444904 3875517 4651334 5167356 6977001 7751034 9302668 10334712 13954002 15502068 18605336 20138399 20931003 27908004 31004136 40276798 41862006 55816008 60415197 80553596 83724012 120830394 161107192 167448024 181245591 241660788 362491182 483321576 724982364 1449964728 4490862977 8981725954 13472588931 17963451908 26945177862 35926903816 40417766793 53890355724 80835533586 107780711448 161671067172 323342134344