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2340200040 = 2335169311519
BaseRepresentation
bin1000101101111100…
…1001111001101000
320001002111110221120
42023133021321220
514243042400130
61024114335240
7111664241433
oct21337117150
96032443846
102340200040
11aa0a88a22
1255388a520
132b3aaba69
14182b3481a
15da6b2910
hex8b7c9e68

2340200040 has 64 divisors (see below), whose sum is σ = 7025356800. Its totient is φ = 623630592.

The previous prime is 2340200039. The next prime is 2340200063. The reversal of 2340200040 is 400020432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 2340199992 and 2340200019.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197401 + ... + 208919.

It is an arithmetic number, because the mean of its divisors is an integer number (109771200).

Almost surely, 22340200040 is an apocalyptic number.

2340200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340200040 is an abundant number, since it is smaller than the sum of its proper divisors (4685156760).

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

2340200040 is a wasteful number, since it uses less digits than its factorization.

2340200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13226 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2340200040 is about 48375.6141046292. The cubic root of 2340200040 is about 1327.6522245205.

Adding to 2340200040 its reverse (400020432), we get a palindrome (2740220472).

The spelling of 2340200040 in words is "two billion, three hundred forty million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1693 3386 5079 6772 8465 10158 11519 13544 16930 20316 23038 25395 33860 34557 40632 46076 50790 57595 67720 69114 92152 101580 115190 138228 172785 203160 230380 276456 345570 460760 691140 1382280 19501667 39003334 58505001 78006668 97508335 117010002 156013336 195016670 234020004 292525005 390033340 468040008 585050010 780066680 1170100020 2340200040