Search a number
930349056 = 21837132
BaseRepresentation
bin110111011101000…
…000000000000000
32101211121121222110
4313131000000000
53401132132211
6232152335320
732024556630
oct6735000000
92354547873
10930349056
1143818101a
1221b6a4540
1311a991500
148b7ba6c0
1556a23ea6
hex37740000

930349056 has 228 divisors, whose sum is σ = 3070224672. Its totient is φ = 245366784.

The previous prime is 930349039. The next prime is 930349061. The reversal of 930349056 is 650943039.

It is a super-2 number, since 2×9303490562 = 1731098732000182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71565306 + ... + 71565318.

Almost surely, 2930349056 is an apocalyptic number.

930349056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

930349056 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535112336).

930349056 is an abundant number, since it is smaller than the sum of its proper divisors (2139875616).

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

930349056 is an frugal number, since it uses more digits than its factorization.

930349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 930349056 is about 30501.6238256261. The cubic root of 930349056 is about 976.2221119504. Note that the first 3 decimals are identical.

The spelling of 930349056 in words is "nine hundred thirty million, three hundred forty-nine thousand, fifty-six".