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310430166644 = 221355337107881
BaseRepresentation
bin1001000010001110001…
…01000110111001110100
31002200021102010101120102
410201013011012321310
520041230110313034
6354335403453232
731266514610423
oct4410705067164
91080242111512
10310430166644
1110a71a810934
12501b6527218
1323372990450
141104c47d2ba
15811d1dd97e
hex4847146e74

310430166644 has 24 divisors (see below), whose sum is σ = 585057463368. Its totient is φ = 143271544320.

The previous prime is 310430166601. The next prime is 310430166659. The reversal of 310430166644 is 446661034013.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 672400 + 310429494244 = 820^2 + 557162^2 .

It is a super-2 number, since 2×3104301666442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310430166598 and 310430166607.

It is a congruent number.

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, 2823584 + ... + 2931464.

It is an arithmetic number, because the mean of its divisors is an integer number (24377394307).

Almost surely, 2310430166644 is an apocalyptic number.

It is an amenable number.

310430166644 is a deficient number, since it is larger than the sum of its proper divisors (274627296724).

310430166644 is a wasteful number, since it uses less digits than its factorization.

310430166644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163235 (or 163233 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 310430166644 in words is "three hundred ten billion, four hundred thirty million, one hundred sixty-six thousand, six hundred forty-four".

Divisors: 1 2 4 13 26 52 55337 107881 110674 215762 221348 431524 719381 1402453 1438762 2804906 2877524 5609812 5969810897 11939621794 23879243588 77607541661 155215083322 310430166644