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3416997150 = 234527432803
BaseRepresentation
bin1100101110101011…
…0011110100011110
322211010200102220000
43023222303310132
523444222402100
61323022035130
7150450665550
oct31352636436
98733612800
103416997150
1114a3895596
127b4418aa6
13425bc7508
14245b534d0
1514eeb3900
hexcbab3d1e

3416997150 has 240 divisors, whose sum is σ = 11106801024. Its totient is φ = 762592320.

The previous prime is 3416997131. The next prime is 3416997247. The reversal of 3416997150 is 517996143.

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

It is a junction number, because it is equal to n+sod(n) for n = 3416997096 and 3416997105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1217649 + ... + 1220451.

Almost surely, 23416997150 is an apocalyptic number.

3416997150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416997150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553400512).

3416997150 is an abundant number, since it is smaller than the sum of its proper divisors (7689803874).

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

3416997150 is a wasteful number, since it uses less digits than its factorization.

3416997150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 3416997150 is about 58455.0866050167. The cubic root of 3416997150 is about 1506.1961697445.

The spelling of 3416997150 in words is "three billion, four hundred sixteen million, nine hundred ninety-seven thousand, one hundred fifty".