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3380993280 = 28325741927
BaseRepresentation
bin1100100110000101…
…1101110100000000
322201121221020212100
43021201131310000
523411013241110
61315254230400
7146532653160
oct31141356400
98647836770
103380993280
111485534325
127a4355400
1341b5cc852
142410605a0
1514bc50bc0
hexc985dd00

3380993280 has 216 divisors, whose sum is σ = 13369329792. Its totient is φ = 772780032.

The previous prime is 3380993267. The next prime is 3380993299. The reversal of 3380993280 is 823990833.

It is a super-2 number, since 2×33809932802 = 22862231118810316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59677 + ... + 101603.

Almost surely, 23380993280 is an apocalyptic number.

3380993280 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 3380993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684664896).

3380993280 is an abundant number, since it is smaller than the sum of its proper divisors (9988336512).

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

3380993280 is a wasteful number, since it uses less digits than its factorization.

3380993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41961 (or 41944 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3380993280 is about 58146.3092551883. The cubic root of 3380993280 is about 1500.8873682815.

The spelling of 3380993280 in words is "three billion, three hundred eighty million, nine hundred ninety-three thousand, two hundred eighty".