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2300442342 = 2311292774339
BaseRepresentation
bin1000100100011101…
…1111011011100110
312221022200120122020
42021013133123212
514202403123332
61020134244010
7111002302662
oct21107373346
95838616566
102300442342
11a805a3420
125424b6606
132a879b5b3
1417b7458a2
15d6e5c82c
hex891df6e6

2300442342 has 64 divisors (see below), whose sum is σ = 5212166400. Its totient is φ = 670481280.

The previous prime is 2300442323. The next prime is 2300442383. The reversal of 2300442342 is 2432440032.

It is a congruent number.

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, 528009 + ... + 532347.

It is an arithmetic number, because the mean of its divisors is an integer number (81440100).

Almost surely, 22300442342 is an apocalyptic number.

2300442342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300442342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606083200).

2300442342 is an abundant number, since it is smaller than the sum of its proper divisors (2911724058).

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

2300442342 is a wasteful number, since it uses less digits than its factorization.

2300442342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2300442342 is about 47962.9267455605. The cubic root of 2300442342 is about 1320.0907387118.

Adding to 2300442342 its reverse (2432440032), we get a palindrome (4732882374).

The spelling of 2300442342 in words is "two billion, three hundred million, four hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 277 319 554 638 831 957 1662 1914 3047 4339 6094 8033 8678 9141 13017 16066 18282 24099 26034 47729 48198 88363 95458 125831 143187 176726 251662 265089 286374 377493 530178 754986 1201903 1384141 2403806 2768282 3605709 4152423 7211418 8304846 13220933 26441866 34855187 39662799 69710374 79325598 104565561 209131122 383407057 766814114 1150221171 2300442342