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2303031400 = 2352233791321
BaseRepresentation
bin1000100101000101…
…0111100001101000
312221111120010011021
42021101113201220
514204034001100
61020305542224
7111033305155
oct21121274150
95844503137
102303031400
11a8200163a
12543344974
132a9196b97
1417bc1b22c
15d72bea1a
hex89457868

2303031400 has 96 divisors (see below), whose sum is σ = 5606337600. Its totient is φ = 878169600.

The previous prime is 2303031397. The next prime is 2303031421. The reversal of 2303031400 is 41303032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1742740 + ... + 1744060.

It is an arithmetic number, because the mean of its divisors is an integer number (58399350).

Almost surely, 22303031400 is an apocalyptic number.

2303031400 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 2303031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803168800).

2303031400 is an abundant number, since it is smaller than the sum of its proper divisors (3303306200).

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

2303031400 is a wasteful number, since it uses less digits than its factorization.

2303031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2303031400 is about 47989.9093560303. The cubic root of 2303031400 is about 1320.5857898924.

Adding to 2303031400 its reverse (41303032), we get a palindrome (2344334432).

The spelling of 2303031400 in words is "two billion, three hundred three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 379 460 575 758 920 1150 1321 1516 1895 2300 2642 3032 3790 4600 5284 6605 7580 8717 9475 10568 13210 15160 17434 18950 26420 30383 33025 34868 37900 43585 52840 60766 66050 69736 75800 87170 121532 132100 151915 174340 217925 243064 264200 303830 348680 435850 500659 607660 759575 871700 1001318 1215320 1519150 1743400 2002636 2503295 3038300 4005272 5006590 6076600 10013180 11515157 12516475 20026360 23030314 25032950 46060628 50065900 57575785 92121256 100131800 115151570 230303140 287878925 460606280 575757850 1151515700 2303031400