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334890106880 = 215572910069
BaseRepresentation
bin1001101111110010000…
…00011000000000000000
31012000102001211002122212
410313321000120000000
520441323331410010
6413502453121252
733123613640510
oct4677100300000
91160361732585
10334890106880
1111a031809a7a
1254aa2029228
1325770356a74
14122ccc03840
158aa0783505
hex4df9018000

334890106880 has 256 divisors, whose sum is σ = 950309928000. Its totient is φ = 110849163264.

The previous prime is 334890106849. The next prime is 334890106891. The reversal of 334890106880 is 88601098433.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×3348901068802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33254486 + ... + 33264554.

Almost surely, 2334890106880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334890106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475154964000).

334890106880 is an abundant number, since it is smaller than the sum of its proper divisors (615419821120).

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

334890106880 is an equidigital number, since it uses as much as digits as its factorization.

334890106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10140 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 334890106880 in words is "three hundred thirty-four billion, eight hundred ninety million, one hundred six thousand, eight hundred eighty".