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334070020680 = 2335113131326083
BaseRepresentation
bin1001101110010000001…
…11111111101001001000
31011221021220200101212220
410313020013333221020
520433133411130210
6413245235534040
733064365215604
oct4671007775110
91157256611786
10334070020680
111197508aa090
12548b345a320
132566c490466
1412251d2a504
158a5378ec70
hex4dc81ffa48

334070020680 has 256 divisors, whose sum is σ = 1132237578240. Its totient is φ = 78120806400.

The previous prime is 334070020643. The next prime is 334070020709. The reversal of 334070020680 is 86020070433.

It is a super-2 number, since 2×3340700206802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12794919 + ... + 12821001.

It is an arithmetic number, because the mean of its divisors is an integer number (4422803040).

Almost surely, 2334070020680 is an apocalyptic number.

334070020680 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 334070020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566118789120).

334070020680 is an abundant number, since it is smaller than the sum of its proper divisors (798167557560).

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

334070020680 is a wasteful number, since it uses less digits than its factorization.

334070020680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26452 (or 26448 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 334070020680 in words is "three hundred thirty-four billion, seventy million, twenty thousand, six hundred eighty".