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322442134340 = 225101315915209
BaseRepresentation
bin1001011000100110000…
…11001000001101000100
31010211021112202120111212
410230103003020031010
520240330141244330
6404043341550552
732203262630414
oct4542303101504
91124245676455
10322442134340
111148241a6a67
12525a9275458
1324538455341
141186b8d4644
1585c2a25295
hex4b130c8344

322442134340 has 24 divisors (see below), whose sum is σ = 677796963480. Its totient is φ = 128849523968.

The previous prime is 322442134303. The next prime is 322442134361. The reversal of 322442134340 is 43431244223.

It can be written as a sum of positive squares in 4 ways, for example, as 12484933696 + 309957200644 = 111736^2 + 556738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 322442134297 and 322442134306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7937345 + ... + 7977864.

It is an arithmetic number, because the mean of its divisors is an integer number (28241540145).

Almost surely, 2322442134340 is an apocalyptic number.

It is an amenable number.

322442134340 is an abundant number, since it is smaller than the sum of its proper divisors (355354829140).

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

322442134340 is a wasteful number, since it uses less digits than its factorization.

322442134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15916231 (or 15916229 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 322442134340 its reverse (43431244223), we get a palindrome (365873378563).

The spelling of 322442134340 in words is "three hundred twenty-two billion, four hundred forty-two million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1013 2026 4052 5065 10130 20260 15915209 31830418 63660836 79576045 159152090 318304180 16122106717 32244213434 64488426868 80610533585 161221067170 322442134340