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374531040 = 2536513219
BaseRepresentation
bin10110010100101…
…110001111100000
3222002202011000000
4112110232033200
51231334443130
6101055300000
712165314142
oct2624561740
9862664000
10374531040
1118245a794
12a551a600
135c794b00
1437a54c92
1522d32260
hex1652e3e0

374531040 has 504 divisors, whose sum is σ = 1512143640. Its totient is φ = 87340032.

The previous prime is 374530999. The next prime is 374531041. The reversal of 374531040 is 40135473.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 374530995 and 374531013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374531041) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19712151 + ... + 19712169.

It is an arithmetic number, because the mean of its divisors is an integer number (3000285).

Almost surely, 2374531040 is an apocalyptic number.

374531040 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 374531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756071820).

374531040 is an abundant number, since it is smaller than the sum of its proper divisors (1137612600).

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

374531040 is a wasteful number, since it uses less digits than its factorization.

374531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 374531040 is about 19352.8044479347. The cubic root of 374531040 is about 720.8240564887.

The spelling of 374531040 in words is "three hundred seventy-four million, five hundred thirty-one thousand, forty".