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334430531040 = 25352234097639
BaseRepresentation
bin1001101110111011001…
…11001110110111100000
31011222020001001020010110
410313131213032313200
520434403203443130
6413345114531320
733106333416324
oct4673547166740
91158201036113
10334430531040
11119916352931
1254994136b40
13256c90865b8
1412287b71984
158a75252ab0
hex4ddd9cede0

334430531040 has 192 divisors, whose sum is σ = 1060906291200. Its totient is φ = 88552894464.

The previous prime is 334430530991. The next prime is 334430531063. The reversal of 334430531040 is 40135034433.

It is a super-2 number, since 2×3344305310402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 334430530989 and 334430531007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43775541 + ... + 43783179.

It is an arithmetic number, because the mean of its divisors is an integer number (5525553600).

Almost surely, 2334430531040 is an apocalyptic number.

334430531040 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 334430531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530453145600).

334430531040 is an abundant number, since it is smaller than the sum of its proper divisors (726475760160).

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

334430531040 is a wasteful number, since it uses less digits than its factorization.

334430531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 334430531040 its reverse (40135034433), we get a palindrome (374565565473).

The spelling of 334430531040 in words is "three hundred thirty-four billion, four hundred thirty million, five hundred thirty-one thousand, forty".