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341863441920 = 293757111361
BaseRepresentation
bin1001111100110001010…
…01100010011000000000
31012200102001101020000000
410332120221202120000
521100114020120140
6421014440000000
733461460211410
oct4763051423000
91180361336000
10341863441920
11121a90000890
1256309460000
1326311c84a10
1412790dbc640
158d5ca81a30
hex4f98a62600

341863441920 has 2560 divisors, whose sum is σ = 1677612625920. Its totient is φ = 64497254400.

The previous prime is 341863441919. The next prime is 341863441943. The reversal of 341863441920 is 29144368143.

341863441920 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 634 + 4 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×3418634419202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5604318690 + ... + 5604318750.

It is an arithmetic number, because the mean of its divisors is an integer number (655317432).

Almost surely, 2341863441920 is an apocalyptic number.

341863441920 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 341863441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838806312960).

341863441920 is an abundant number, since it is smaller than the sum of its proper divisors (1335749184000).

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

341863441920 is an equidigital number, since it uses as much as digits as its factorization.

341863441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 341863441920 in words is "three hundred forty-one billion, eight hundred sixty-three million, four hundred forty-one thousand, nine hundred twenty".