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376884480 = 2835722003
BaseRepresentation
bin10110011101101…
…100110100000000
3222021011201022110
4112131230310000
51232440300410
6101221535320
712224315400
oct2635546400
9867151273
10376884480
11183817985
12a6274540
136010a08b
14380a8800
1523149720
hex1676cd00

376884480 has 216 divisors, whose sum is σ = 1400892192. Its totient is φ = 86102016.

The previous prime is 376884467. The next prime is 376884481. The reversal of 376884480 is 84488673.

It is a super-2 number, since 2×3768844802 = 284083822529740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376884481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187159 + ... + 189161.

It is an arithmetic number, because the mean of its divisors is an integer number (6485612).

Almost surely, 2376884480 is an apocalyptic number.

376884480 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 376884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700446096).

376884480 is an abundant number, since it is smaller than the sum of its proper divisors (1024007712).

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

376884480 is a wasteful number, since it uses less digits than its factorization.

376884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 376884480 is about 19413.5128196831. The cubic root of 376884480 is about 722.3307186728.

The spelling of 376884480 in words is "three hundred seventy-six million, eight hundred eighty-four thousand, four hundred eighty".