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2340223104 = 27316736493
BaseRepresentation
bin1000101101111100…
…1111100010000000
320001002112122120210
42023133033202000
514243044114404
61024115034120
7111664365612
oct21337174200
96032478523
102340223104
11aa0aa428a
1255389b940
132b3ab93cb
14182b3cdb2
15da6b9689
hex8b7cf880

2340223104 has 64 divisors (see below), whose sum is σ = 6253611840. Its totient is φ = 775382016.

The previous prime is 2340223091. The next prime is 2340223117. The reversal of 2340223104 is 4013220432.

It is an interprime number because it is at equal distance from previous prime (2340223091) and next prime (2340223117).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45882 + ... + 82374.

It is an arithmetic number, because the mean of its divisors is an integer number (97712685).

Almost surely, 22340223104 is an apocalyptic number.

2340223104 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 2340223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126805920).

2340223104 is an abundant number, since it is smaller than the sum of its proper divisors (3913388736).

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

2340223104 is a wasteful number, since it uses less digits than its factorization.

2340223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36677 (or 36665 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2340223104 is about 48375.8524886125. The cubic root of 2340223104 is about 1327.6565860949.

Adding to 2340223104 its reverse (4013220432), we get a palindrome (6353443536).

The spelling of 2340223104 in words is "two billion, three hundred forty million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 36493 64128 72986 109479 145972 218958 291944 437916 583888 875832 1167776 1751664 2335552 3503328 4671104 6094331 7006656 12188662 14013312 18282993 24377324 36565986 48754648 73131972 97509296 146263944 195018592 292527888 390037184 585055776 780074368 1170111552 2340223104