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341926945920 = 27345717431289
BaseRepresentation
bin1001111100111000110…
…11110010010010000000
31012200120110212120010000
410332130123302102000
521100231244232140
6421025025040000
733463161041310
oct4763433622200
91180513776100
10341926945920
1112201293532a
1256326786000
132632218a851
14127995cd440
158d63427a30
hex4f9c6f2480

341926945920 has 1280 divisors, whose sum is σ = 1513148947200. Its totient is φ = 71791017984.

The previous prime is 341926945907. The next prime is 341926946033. The reversal of 341926945920 is 29549629143.

341926945920 is a `hidden beast` number, since 3 + 41 + 9 + 2 + 6 + 9 + 4 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 265264636 + ... + 265265924.

It is an arithmetic number, because the mean of its divisors is an integer number (1182147615).

Almost surely, 2341926945920 is an apocalyptic number.

341926945920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341926945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756574473600).

341926945920 is an abundant number, since it is smaller than the sum of its proper divisors (1171222001280).

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

341926945920 is a wasteful number, since it uses less digits than its factorization.

341926945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 341926945920 in words is "three hundred forty-one billion, nine hundred twenty-six million, nine hundred forty-five thousand, nine hundred twenty".