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341392466944 = 210192314
BaseRepresentation
bin1001111011111001001…
…00111010010000000000
31012122012020011012210101
410331330210322100000
521043132432420234
6420500013212144
733444011042464
oct4757444722000
91178166135711
10341392466944
11121869169371
12561b7791054
1326268522bb9
14127486204a4
158d3154d814
hex4f7c93a400

341392466944 has 165 divisors, whose sum is σ = 744269149635. Its totient is φ = 156495697920.

The previous prime is 341392466917. The next prime is 341392466969. The reversal of 341392466944 is 449664293143.

The square root of 341392466944 is 584288.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×3413924669442 (a number of 24 digits) contains 22 as substring.

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 11012660209 + ... + 11012660239.

It is an arithmetic number, because the mean of its divisors is an integer number (4510722119).

Almost surely, 2341392466944 is an apocalyptic number.

341392466944 is the 584288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341392466944

341392466944 is an abundant number, since it is smaller than the sum of its proper divisors (402876682691).

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

341392466944 is an frugal number, since it uses more digits than its factorization.

341392466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 52 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 55.

The spelling of 341392466944 in words is "three hundred forty-one billion, three hundred ninety-two million, four hundred sixty-six thousand, nine hundred forty-four".