Search a number
-
+
321343062664 = 231324129634327
BaseRepresentation
bin1001010110100011000…
…10100000001010001000
31010201102221122221121111
410223101202200022020
520231102311001124
6403342321020104
732134115652001
oct4532142401210
91121387587544
10321343062664
1111430a866168
1252341184634
13243c183b080
14117a59581a8
15855b2c4494
hex4ad18a0288

321343062664 has 64 divisors (see below), whose sum is σ = 651928717440. Its totient is φ = 147612810240.

The previous prime is 321343062653. The next prime is 321343062673. The reversal of 321343062664 is 466260343123.

It is a happy number.

It is a super-2 number, since 2×3213430626642 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74262469 + ... + 74266795.

It is an arithmetic number, because the mean of its divisors is an integer number (10186386210).

Almost surely, 2321343062664 is an apocalyptic number.

It is an amenable number.

321343062664 is an abundant number, since it is smaller than the sum of its proper divisors (330585654776).

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

321343062664 is a wasteful number, since it uses less digits than its factorization.

321343062664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 321343062664 in words is "three hundred twenty-one billion, three hundred forty-three million, sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 241 482 964 1928 2963 3133 4327 5926 6266 8654 11852 12532 17308 23704 25064 34616 38519 56251 77038 112502 154076 225004 308152 450008 714083 1042807 1428166 2085614 2856332 4171228 5712664 8342456 9283079 12820901 13556491 18566158 25641802 27112982 37132316 51283604 54225964 74264632 102567208 108451928 166671713 333343426 666686852 1333373704 3089837141 6179674282 12359348564 24718697128 40167882833 80335765666 160671531332 321343062664