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4234103200 = 255214935521
BaseRepresentation
bin1111110001011111…
…0100100110100000
3101221002012201200001
43330113310212200
532132412300300
61540051305344
7206632166125
oct37427644640
911832181601
104234103200
11188304a448
129a1bab254
13526289512
142c249274c
1519bab916a
hexfc5f49a0

4234103200 has 72 divisors (see below), whose sum is σ = 10406169900. Its totient is φ = 1682227200.

The previous prime is 4234103183. The next prime is 4234103221. The reversal of 4234103200 is 23014324.

It can be written as a sum of positive squares in 6 ways, for example, as 1453439376 + 2780663824 = 38124^2 + 52732^2 .

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 11 ways as a sum of consecutive naturals, for example, 101440 + ... + 136960.

Almost surely, 24234103200 is an apocalyptic number.

4234103200 is a gapful number since it is divisible by the number (40) 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 4234103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203084950).

4234103200 is an abundant number, since it is smaller than the sum of its proper divisors (6172066700).

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

4234103200 is a wasteful number, since it uses less digits than its factorization.

4234103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35690 (or 35677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4234103200 is about 65069.9869371433. The cubic root of 4234103200 is about 1617.7837906553.

Adding to 4234103200 its reverse (23014324), we get a palindrome (4257117524).

The spelling of 4234103200 in words is "four billion, two hundred thirty-four million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 149 160 200 298 400 596 745 800 1192 1490 2384 2980 3725 4768 5960 7450 11920 14900 23840 29800 35521 59600 71042 119200 142084 177605 284168 355210 568336 710420 888025 1136672 1420840 1776050 2841680 3552100 5292629 5683360 7104200 10585258 14208400 21170516 26463145 28416800 42341032 52926290 84682064 105852580 132315725 169364128 211705160 264631450 423410320 529262900 846820640 1058525800 2117051600 4234103200