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374467968 = 2733723673
BaseRepresentation
bin10110010100011…
…110110110000000
3222002121221111000
4112110132312000
51231330433333
6101054052000
712164632230
oct2624366600
9862557430
10374467968
11182417366
12a54aa000
135c7721a4
1437a39cc0
1522d1d713
hex1651ed80

374467968 has 256 divisors, whose sum is σ = 1319961600. Its totient is φ = 102187008.

The previous prime is 374467963. The next prime is 374467999. The reversal of 374467968 is 869764473.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374467963) 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 31 ways as a sum of consecutive naturals, for example, 556080 + ... + 556752.

It is an arithmetic number, because the mean of its divisors is an integer number (5156100).

Almost surely, 2374467968 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 374467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659980800).

374467968 is an abundant number, since it is smaller than the sum of its proper divisors (945493632).

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

374467968 is a wasteful number, since it uses less digits than its factorization.

374467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 374467968 is about 19351.1748480551. The cubic root of 374467968 is about 720.7835913359.

The spelling of 374467968 in words is "three hundred seventy-four million, four hundred sixty-seven thousand, nine hundred sixty-eight".