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2340212140 = 2257191994421
BaseRepresentation
bin1000101101111100…
…1100110110101100
320001002112002112201
42023133030312230
514243043242030
61024114511244
7111664321630
oct21337146654
96032462481
102340212140
11aa0a97022
12553895524
132b3ab4416
14182b38dc0
15da6b62ca
hex8b7ccdac

2340212140 has 96 divisors (see below), whose sum is σ = 5943168000. Its totient is φ = 756138240.

The previous prime is 2340212131. The next prime is 2340212239. The reversal of 2340212140 is 412120432.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527130 + ... + 531550.

It is an arithmetic number, because the mean of its divisors is an integer number (61908000).

Almost surely, 22340212140 is an apocalyptic number.

2340212140 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 2340212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971584000).

2340212140 is an abundant number, since it is smaller than the sum of its proper divisors (3602955860).

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

2340212140 is a wasteful number, since it uses less digits than its factorization.

2340212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2340212140 is about 48375.7391674794. The cubic root of 2340212140 is about 1327.6545127243.

Adding to 2340212140 its reverse (412120432), we get a palindrome (2752332572).

The spelling of 2340212140 in words is "two billion, three hundred forty million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 199 266 380 398 532 665 796 995 1330 1393 1990 2660 2786 3781 3980 4421 5572 6965 7562 8842 13930 15124 17684 18905 22105 26467 27860 30947 37810 44210 52934 61894 75620 83999 88420 105868 123788 132335 154735 167998 264670 309470 335996 419995 529340 587993 618940 839990 879779 1175986 1679980 1759558 2351972 2939965 3519116 4398895 5879930 6158453 8797790 11759860 12316906 16715801 17595580 24633812 30792265 33431602 61584530 66863204 83579005 117010607 123169060 167158010 234021214 334316020 468042428 585053035 1170106070 2340212140