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2303434200 = 2335223916063
BaseRepresentation
bin1000100101001011…
…1001110111011000
312221112022120200210
42021102321313120
514204134343300
61020322331120
7111036603414
oct21122716730
95845276623
102303434200
11a82257231
125434b9aa0
132a92a8322
1417bcc3d44
15d734e050
hex894b9dd8

2303434200 has 96 divisors (see below), whose sum is σ = 7170969600. Its totient is φ = 611640960.

The previous prime is 2303434171. The next prime is 2303434213. The reversal of 2303434200 is 24343032.

2303434200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23034342002 = 10611618227459280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135369 + ... + 151431.

It is an arithmetic number, because the mean of its divisors is an integer number (74697600).

Almost surely, 22303434200 is an apocalyptic number.

2303434200 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 2303434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585484800).

2303434200 is an abundant number, since it is smaller than the sum of its proper divisors (4867535400).

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

2303434200 is a wasteful number, since it uses less digits than its factorization.

2303434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16321 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2303434200 is about 47994.1058881192. The cubic root of 2303434200 is about 1320.6627755192.

Adding to 2303434200 its reverse (24343032), we get a palindrome (2327777232).

The spelling of 2303434200 in words is "two billion, three hundred three million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 239 300 478 600 717 956 1195 1434 1912 2390 2868 3585 4780 5736 5975 7170 9560 11950 14340 16063 17925 23900 28680 32126 35850 47800 48189 64252 71700 80315 96378 128504 143400 160630 192756 240945 321260 385512 401575 481890 642520 803150 963780 1204725 1606300 1927560 2409450 3212600 3839057 4818900 7678114 9637800 11517171 15356228 19195285 23034342 30712456 38390570 46068684 57585855 76781140 92137368 95976425 115171710 153562280 191952850 230343420 287929275 383905700 460686840 575858550 767811400 1151717100 2303434200