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376871040 = 27325713719
BaseRepresentation
bin10110011101101…
…001100010000000
3222021011000212200
4112131221202000
51232434333130
6101221353200
712224231250
oct2635514200
9867130780
10376871040
11183808877
12a6268800
1360103c20
14380a3960
1523145760
hex16769880

376871040 has 384 divisors, whose sum is σ = 1603929600. Its totient is φ = 79405056.

The previous prime is 376871039. The next prime is 376871063. The reversal of 376871040 is 40178673.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 376870986 and 376871004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523801 + ... + 524519.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2376871040 is an apocalyptic number.

376871040 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 376871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

376871040 is an abundant number, since it is smaller than the sum of its proper divisors (1227058560).

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

376871040 is a wasteful number, since it uses less digits than its factorization.

376871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 376871040 is about 19413.1666659512. The cubic root of 376871040 is about 722.3221322750.

The spelling of 376871040 in words is "three hundred seventy-six million, eight hundred seventy-one thousand, forty".