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234130350400 = 2652587249287
BaseRepresentation
bin1101101000001101000…
…0011010000101000000
3211101022221120010110021
43122003100122011000
512313444332203100
6255320305543224
722625653066522
oct3320320320500
9741287503407
10234130350400
119032652a661
1239461944b14
1319103314a9b
14b490cd1a12
1561549c0a1a
hex368341a140

234130350400 has 84 divisors (see below), whose sum is σ = 577090751328. Its totient is φ = 93492221440.

The previous prime is 234130350343. The next prime is 234130350409. The reversal of 234130350400 is 4053031432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234130350409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 814557 + ... + 1063843.

It is an arithmetic number, because the mean of its divisors is an integer number (6870127992).

Almost surely, 2234130350400 is an apocalyptic number.

234130350400 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 234130350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288545375664).

234130350400 is an abundant number, since it is smaller than the sum of its proper divisors (342960400928).

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

234130350400 is a wasteful number, since it uses less digits than its factorization.

234130350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249896 (or 249881 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 234130350400 its reverse (4053031432), we get a palindrome (238183381832).

The spelling of 234130350400 in words is "two hundred thirty-four billion, one hundred thirty million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 587 800 1174 1600 2348 2935 4696 5870 9392 11740 14675 18784 23480 29350 37568 46960 58700 93920 117400 187840 234800 249287 469600 498574 939200 997148 1246435 1994296 2492870 3988592 4985740 6232175 7977184 9971480 12464350 15954368 19942960 24928700 39885920 49857400 79771840 99714800 146331469 199429600 292662938 398859200 585325876 731657345 1170651752 1463314690 2341303504 2926629380 3658286725 4682607008 5853258760 7316573450 9365214016 11706517520 14633146900 23413035040 29266293800 46826070080 58532587600 117065175200 234130350400