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2031402240 = 283657311
BaseRepresentation
bin111100100010100…
…1011110100000000
312020120102221000000
41321011023310000
513130014332430
6533324000000
7101224430340
oct17105136400
95216387000
102031402240
1195274562a
12488390000
13264b2067a
14153b10d20
15bd516e60
hex7914bd00

2031402240 has 504 divisors, whose sum is σ = 8364440448. Its totient is φ = 462827520.

The previous prime is 2031402223. The next prime is 2031402281. The reversal of 2031402240 is 422041302.

2031402240 is a `hidden beast` number, since 20 + 3 + 1 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 6531685 + ... + 6531995.

It is an arithmetic number, because the mean of its divisors is an integer number (16596112).

Almost surely, 22031402240 is an apocalyptic number.

2031402240 is a gapful number since it is divisible by the number (20) 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 2031402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182220224).

2031402240 is an abundant number, since it is smaller than the sum of its proper divisors (6333038208).

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

2031402240 is an frugal number, since it uses more digits than its factorization.

2031402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2031402240 is about 45071.0798628123. The cubic root of 2031402240 is about 1266.4808936541.

Adding to 2031402240 its reverse (422041302), we get a palindrome (2453443542).

The spelling of 2031402240 in words is "two billion, thirty-one million, four hundred two thousand, two hundred forty".