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334426651680 = 253511199734367
BaseRepresentation
bin1001101110111010110…
…00011011110000100000
31011222012202202010122110
410313131120123300200
520434401210323210
6413344455435320
733106255431252
oct4673530336040
91158182663573
10334426651680
11119914143250
1254992985b40
13256c8328914
1412287441cd2
158a74c38420
hex4ddd61bc20

334426651680 has 384 divisors, whose sum is σ = 1222203064320. Its totient is φ = 76012093440.

The previous prime is 334426651639. The next prime is 334426651687. The reversal of 334426651680 is 86156624433.

It is a super-2 number, since 2×3344266516802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (334426651687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9713857 + ... + 9748223.

It is an arithmetic number, because the mean of its divisors is an integer number (3182820480).

Almost surely, 2334426651680 is an apocalyptic number.

334426651680 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 334426651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611101532160).

334426651680 is an abundant number, since it is smaller than the sum of its proper divisors (887776412640).

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

334426651680 is a wasteful number, since it uses less digits than its factorization.

334426651680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34512 (or 34504 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 334426651680 in words is "three hundred thirty-four billion, four hundred twenty-six million, six hundred fifty-one thousand, six hundred eighty".