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3974898240 = 263255326041
BaseRepresentation
bin1110110011101100…
…0010001001000000
3101021000110202022100
43230323002021000
531120033220430
61454231510400
7200334035415
oct35473021100
911230422270
103974898240
11175a7a9975
1292b228400
134b46730c1
14299c9c10c
15183e67960
hexecec2240

3974898240 has 168 divisors, whose sum is σ = 13930490808. Its totient is φ = 1039933440.

The previous prime is 3974898229. The next prime is 3974898251. The reversal of 3974898240 is 428984793.

3974898240 is a `hidden beast` number, since 397 + 4 + 8 + 9 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (3974898229) and next prime (3974898251).

It can be written as a sum of positive squares in 4 ways, for example, as 1643167296 + 2331730944 = 40536^2 + 48288^2 .

It is an unprimeable number.

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, 139620 + ... + 165660.

Almost surely, 23974898240 is an apocalyptic number.

3974898240 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 3974898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965245404).

3974898240 is an abundant number, since it is smaller than the sum of its proper divisors (9955592568).

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

3974898240 is a wasteful number, since it uses less digits than its factorization.

3974898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26117 (or 26104 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3974898240 is about 63046.7940501339. The cubic root of 3974898240 is about 1584.0735350006.

The spelling of 3974898240 in words is "three billion, nine hundred seventy-four million, eight hundred ninety-eight thousand, two hundred forty".