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3620945328 = 24371121321731
BaseRepresentation
bin1101011111010011…
…0011110110110000
3100100100110002012020
43113310303312300
524403430222303
61355145231440
7155505345630
oct32764636660
910310402166
103620945328
111598a24900
12850792580
13459234900
14264c826c0
15162d4ca53
hexd7d33db0

3620945328 has 720 divisors, whose sum is σ = 13907109888. Its totient is φ = 790732800.

The previous prime is 3620945291. The next prime is 3620945371. The reversal of 3620945328 is 8235490263.

It is a super-2 number, since 2×36209453282 = 26222490136730055168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3620945328.

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 143 ways as a sum of consecutive naturals, for example, 116804673 + ... + 116804703.

Almost surely, 23620945328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620945328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953554944).

3620945328 is an abundant number, since it is smaller than the sum of its proper divisors (10286164560).

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

3620945328 is a wasteful number, since it uses less digits than its factorization.

3620945328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3620945328 is about 60174.2912546546. The cubic root of 3620945328 is about 1535.5854526362.

The spelling of 3620945328 in words is "three billion, six hundred twenty million, nine hundred forty-five thousand, three hundred twenty-eight".