Search a number
-
+
234113400 = 2332521131151
BaseRepresentation
bin11011111010001…
…00100101111000
3121022112012012200
431331010211320
5434413112100
635121510200
75541634233
oct1575044570
9538465180
10234113400
11110172954
12664a2360
133966c651
142314241a
1515846e00
hexdf44978

234113400 has 144 divisors (see below), whose sum is σ = 793877760. Its totient is φ = 61824000.

The previous prime is 234113387. The next prime is 234113401. The reversal of 234113400 is 4311432.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234113401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202825 + ... + 203975.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2234113400 is an apocalyptic number.

234113400 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 234113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396938880).

234113400 is an abundant number, since it is smaller than the sum of its proper divisors (559764360).

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

234113400 is a wasteful number, since it uses less digits than its factorization.

234113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234113400 is about 15300.7646867730. The cubic root of 234113400 is about 616.3235425784.

Adding to 234113400 its reverse (4311432), we get a palindrome (238424832).

The spelling of 234113400 in words is "two hundred thirty-four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 113 120 150 180 200 225 226 300 339 360 450 452 565 600 678 900 904 1017 1130 1151 1356 1695 1800 2034 2260 2302 2712 2825 3390 3453 4068 4520 4604 5085 5650 5755 6780 6906 8136 8475 9208 10170 10359 11300 11510 13560 13812 16950 17265 20340 20718 22600 23020 25425 27624 28775 33900 34530 40680 41436 46040 50850 51795 57550 67800 69060 82872 86325 101700 103590 115100 130063 138120 172650 203400 207180 230200 258975 260126 345300 390189 414360 517950 520252 650315 690600 780378 1035900 1040504 1170567 1300630 1560756 1950945 2071800 2341134 2601260 3121512 3251575 3901890 4682268 5202520 5852835 6503150 7803780 9364536 9754725 11705670 13006300 15607560 19509450 23411340 26012600 29264175 39018900 46822680 58528350 78037800 117056700 234113400