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3845046240 = 253357432957
BaseRepresentation
bin1110010100101110…
…1011111111100000
3100220222010120212000
43211023223333200
530333312434430
61433312404000
7164166232230
oct34513537740
910828116760
103845046240
1116a3479172
128b3846600
134937a9ab9
14286939cc0
15177867e60
hexe52ebfe0

3845046240 has 384 divisors, whose sum is σ = 15743185920. Its totient is φ = 858138624.

The previous prime is 3845046239. The next prime is 3845046259. The reversal of 3845046240 is 426405483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3845046195 and 3845046204.

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 63 ways as a sum of consecutive naturals, for example, 1298842 + ... + 1301798.

It is an arithmetic number, because the mean of its divisors is an integer number (40997880).

Almost surely, 23845046240 is an apocalyptic number.

3845046240 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 3845046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871592960).

3845046240 is an abundant number, since it is smaller than the sum of its proper divisors (11898139680).

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

3845046240 is a wasteful number, since it uses less digits than its factorization.

3845046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3845046240 is about 62008.4368453197. The cubic root of 3845046240 is about 1566.6327062705.

The spelling of 3845046240 in words is "three billion, eight hundred forty-five million, forty-six thousand, two hundred forty".