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3380516100 = 223352131937137
BaseRepresentation
bin1100100101111110…
…1001010100000100
322201121001000022000
43021133221110010
523410403003400
61315240105300
7146525625033
oct31137512404
98647030260
103380516100
111485238865
127a4165230
1341b4935b0
14240d7871a
1514bba9600
hexc97e9504

3380516100 has 576 divisors, whose sum is σ = 12745017600. Its totient is φ = 761425920.

The previous prime is 3380516093. The next prime is 3380516101. The reversal of 3380516100 is 16150833.

It is a super-2 number, since 2×33805161002 = 22855778204718420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3380516101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24675232 + ... + 24675368.

Almost surely, 23380516100 is an apocalyptic number.

3380516100 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 3380516100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372508800).

3380516100 is an abundant number, since it is smaller than the sum of its proper divisors (9364501500).

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

3380516100 is a wasteful number, since it uses less digits than its factorization.

3380516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3380516100 is about 58142.2058405080. The cubic root of 3380516100 is about 1500.8167551933.

Adding to 3380516100 its reverse (16150833), we get a palindrome (3396666933).

The spelling of 3380516100 in words is "three billion, three hundred eighty million, five hundred sixteen thousand, one hundred".