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305000349696 = 22037719
BaseRepresentation
bin1000111000000110111…
…00000000000000000000
31002011020222222010000000
410130003130000000000
514444120042142241
6352040520000000
731015123124340
oct4340334000000
91064228863000
10305000349696
11108393823009
124b140000000
13229b8a80703
1410a95294d20
157e01683eb6
hex4703700000

305000349696 has 672 divisors, whose sum is σ = 1100584844800. Its totient is φ = 82556485632.

The previous prime is 305000349671. The next prime is 305000349767. The reversal of 305000349696 is 696943000503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16052649975 + ... + 16052649993.

Almost surely, 2305000349696 is an apocalyptic number.

305000349696 is a gapful number since it is divisible by the number (36) 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 305000349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550292422400).

305000349696 is an abundant number, since it is smaller than the sum of its proper divisors (795584495104).

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

305000349696 is an frugal number, since it uses more digits than its factorization.

305000349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 305000349696 in words is "three hundred five billion, three hundred forty-nine thousand, six hundred ninety-six".