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345404438544 = 243111934430267
BaseRepresentation
bin1010000011010111011…
…01010111100000010000
31020000112211101111012010
411001223231113200100
521124342014013134
6422402051502520
733645305166624
oct5015355274020
91200484344163
10345404438544
11123537889a80
1256b372b7a40
13267577766a9
1412a093ad184
158eb888ace9
hex506bb57810

345404438544 has 80 divisors (see below), whose sum is σ = 1024644775680. Its totient is φ = 99159166080.

The previous prime is 345404438543. The next prime is 345404438629. The reversal of 345404438544 is 445834404543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 345404438493 and 345404438502.

It is not an unprimeable number, because it can be changed into a prime (345404438543) 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 15 ways as a sum of consecutive naturals, for example, 17205102 + ... + 17225165.

It is an arithmetic number, because the mean of its divisors is an integer number (12808059696).

Almost surely, 2345404438544 is an apocalyptic number.

It is an amenable number.

345404438544 is an abundant number, since it is smaller than the sum of its proper divisors (679240337136).

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

345404438544 is a wasteful number, since it uses less digits than its factorization.

345404438544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34430308 (or 34430302 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 48.

The spelling of 345404438544 in words is "three hundred forty-five billion, four hundred four million, four hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 34430267 68860534 103290801 137721068 206581602 275442136 378732937 413163204 550884272 654175073 757465874 826326408 1136198811 1308350146 1514931748 1652652816 1962525219 2272397622 2616700292 3029863496 3925050438 4544795244 5233400584 6059726992 7195925803 7850100876 9089590488 10466801168 14391851606 15700201752 18179180976 21587777409 28783703212 31400403504 43175554818 57567406424 86351109636 115134812848 172702219272 345404438544