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34442560446 = 237971844553
BaseRepresentation
bin100000000100111011…
…111100001110111110
310021220100202100121220
4200010323330032332
51031014243413241
623453411334210
72326342635060
oct400473741676
9107810670556
1034442560446
1113674a22498
1268128b1366
13332b8aa1a8
14194a481730
15d68b6d166
hex804efc3be

34442560446 has 32 divisors (see below), whose sum is σ = 78807022848. Its totient is φ = 9830585280.

The previous prime is 34442560433. The next prime is 34442560463. The reversal of 34442560446 is 64406524443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34442560398 and 34442560407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381495 + ... + 463058.

It is an arithmetic number, because the mean of its divisors is an integer number (2462719464).

Almost surely, 234442560446 is an apocalyptic number.

34442560446 is an abundant number, since it is smaller than the sum of its proper divisors (44364462402).

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

34442560446 is a wasteful number, since it uses less digits than its factorization.

34442560446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845536.

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 34442560446 in words is "thirty-four billion, four hundred forty-two million, five hundred sixty thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 971 1942 2913 5826 6797 13594 20391 40782 844553 1689106 2533659 5067318 5911871 11823742 17735613 35471226 820060963 1640121926 2460182889 4920365778 5740426741 11480853482 17221280223 34442560446