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3994842240 = 27355171511
BaseRepresentation
bin1110111000011100…
…0111010010000000
3101022102000000100000
43232013013102000
531140134422430
61500223200000
7200665412244
oct35607072200
911272000300
103994842240
11176aa91114
12935a46000
134b8836b9c
1429c7b0424
15185aa6e60
hexee1c7480

3994842240 has 384 divisors, whose sum is σ = 15157134720. Its totient is φ = 1001963520.

The previous prime is 3994842227. The next prime is 3994842281. The reversal of 3994842240 is 422484993.

It is a happy number.

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 (45).

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, 2643085 + ... + 2644595.

It is an arithmetic number, because the mean of its divisors is an integer number (39471705).

Almost surely, 23994842240 is an apocalyptic number.

3994842240 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 3994842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578567360).

3994842240 is an abundant number, since it is smaller than the sum of its proper divisors (11162292480).

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

3994842240 is a wasteful number, since it uses less digits than its factorization.

3994842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3994842240 is about 63204.7643773790. The cubic root of 3994842240 is about 1586.7184723648.

The spelling of 3994842240 in words is "three billion, nine hundred ninety-four million, eight hundred forty-two thousand, two hundred forty".