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2140402344 = 233374435441
BaseRepresentation
bin111111110010011…
…1111001010101000
312112011112201000220
41333210333022220
513340420333334
6552220130040
7104020056033
oct17744771250
95464481026
102140402344
119a9223a63
124b8996920
13281595882
141643a601a
15c7d98449
hex7f93f2a8

2140402344 has 64 divisors (see below), whose sum is σ = 5509045440. Its totient is φ = 692490240.

The previous prime is 2140402321. The next prime is 2140402373. The reversal of 2140402344 is 4432040412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390664 + ... + 396104.

It is an arithmetic number, because the mean of its divisors is an integer number (86078835).

Almost surely, 22140402344 is an apocalyptic number.

2140402344 is a gapful number since it is divisible by the number (24) 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 2140402344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754522720).

2140402344 is an abundant number, since it is smaller than the sum of its proper divisors (3368643096).

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

2140402344 is a wasteful number, since it uses less digits than its factorization.

2140402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2140402344 is about 46264.4825325000. The cubic root of 2140402344 is about 1288.7394982466.

Adding to 2140402344 its reverse (4432040412), we get a palindrome (6572442756).

The spelling of 2140402344 in words is "two billion, one hundred forty million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 443 444 886 888 1329 1772 2658 3544 5316 5441 10632 10882 16323 16391 21764 32646 32782 43528 49173 65292 65564 98346 130584 131128 196692 201317 393384 402634 603951 805268 1207902 1610536 2410363 2415804 4820726 4831608 7231089 9641452 14462178 19282904 28924356 57848712 89183431 178366862 267550293 356733724 535100586 713467448 1070201172 2140402344