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3431243400 = 2335213439903
BaseRepresentation
bin1100110010000100…
…1001111010001000
322212010111020001220
43030201021322020
524011344242100
61324251242040
7151013042034
oct31441117210
98763436056
103431243400
111500935a52
127b9149320
13428b44a50
142479c11c4
15151379aa0
hexcc849e88

3431243400 has 96 divisors (see below), whose sum is σ = 11455100160. Its totient is φ = 844611840.

The previous prime is 3431243393. The next prime is 3431243411. The reversal of 3431243400 is 43421343.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 212152 + ... + 227751.

It is an arithmetic number, because the mean of its divisors is an integer number (119323960).

Almost surely, 23431243400 is an apocalyptic number.

3431243400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431243400 is an abundant number, since it is smaller than the sum of its proper divisors (8023856760).

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

3431243400 is a wasteful number, since it uses less digits than its factorization.

3431243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439935 (or 439926 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3431243400 is about 58576.8162330456. The cubic root of 3431243400 is about 1508.2864939380.

Adding to 3431243400 its reverse (43421343), we get a palindrome (3474664743).

The spelling of 3431243400 in words is "three billion, four hundred thirty-one million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 439903 879806 1319709 1759612 2199515 2639418 3519224 4399030 5278836 5718739 6598545 8798060 10557672 10997575 11437478 13197090 17156217 17596120 21995150 22874956 26394180 28593695 32992725 34312434 43990300 45749912 52788360 57187390 65985450 68624868 85781085 87980600 114374780 131970900 137249736 142968475 171562170 228749560 263941800 285936950 343124340 428905425 571873900 686248680 857810850 1143747800 1715621700 3431243400