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344120331122232 = 23372048335304299
BaseRepresentation
bin100111000111110011100001…
…0000110001011011000111000
31200010102120201112210122220120
41032033213002012023120320
5330101031414231402412
63215514410412053240
7132324605413313250
oct11617470206133070
91603376645718816
10344120331122232
119a7136817a1315
12327189aa764220
1311a0253c458b82
1460d972754c960
1529bb55d5e6b8c
hex138f9c218b638

344120331122232 has 32 divisors (see below), whose sum is σ = 983200946064000. Its totient is φ = 98320094606304.

The previous prime is 344120331122171. The next prime is 344120331122251. The reversal of 344120331122232 is 232221133021443.

It is a happy number.

It is a super-2 number, since 2×3441203311222322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344120331122193 and 344120331122202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1024167651982 + ... + 1024167652317.

It is an arithmetic number, because the mean of its divisors is an integer number (30725029564500).

Almost surely, 2344120331122232 is an apocalyptic number.

It is an amenable number.

344120331122232 is an abundant number, since it is smaller than the sum of its proper divisors (639080614941768).

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

344120331122232 is a wasteful number, since it uses less digits than its factorization.

344120331122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048335304315 (or 2048335304311 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 344120331122232 its reverse (232221133021443), we get a palindrome (576341464143675).

The spelling of 344120331122232 in words is "three hundred forty-four trillion, one hundred twenty billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2048335304299 4096670608598 6145005912897 8193341217196 12290011825794 14338347130093 16386682434392 24580023651588 28676694260186 43015041390279 49160047303176 57353388520372 86030082780558 114706777040744 172060165561116 344120331122232