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345664400552 = 23293740268453
BaseRepresentation
bin1010000011110110011…
…01000010110010101000
31020001012221112221000122
411001323031002302220
521130410041304202
6422443535422412
733654612632432
oct5017315026250
91201187487018
10345664400552
111236605a7309
1256baa384a08
1326799596573
1412a31b1d652
158ed15db9a2
hex507b342ca8

345664400552 has 32 divisors (see below), whose sum is σ = 688590563400. Its totient is φ = 162362398464.

The previous prime is 345664400533. The next prime is 345664400569. The reversal of 345664400552 is 255004466543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 345421851076 + 242549476 = 587726^2 + 15574^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20125643 + ... + 20142810.

Almost surely, 2345664400552 is an apocalyptic number.

It is an amenable number.

345664400552 is a deficient number, since it is larger than the sum of its proper divisors (342926162848).

345664400552 is a wasteful number, since it uses less digits than its factorization.

345664400552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40268525 (or 40268521 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 345664400552 in words is "three hundred forty-five billion, six hundred sixty-four million, four hundred thousand, five hundred fifty-two".

Divisors: 1 2 4 8 29 37 58 74 116 148 232 296 1073 2146 4292 8584 40268453 80536906 161073812 322147624 1167785137 1489932761 2335570274 2979865522 4671140548 5959731044 9342281096 11919462088 43208050069 86416100138 172832200276 345664400552