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234470340 = 2232513971033
BaseRepresentation
bin11011111100110…
…11101111000100
3121100012022211200
431332123233010
5440011022330
635133302500
75544651666
oct1576335704
9540168750
10234470340
11110397045
1266634a30
1339765c60
14231d6536
15158b7a60
hexdf9bbc4

234470340 has 144 divisors (see below), whose sum is σ = 774581808. Its totient is φ = 57065472.

The previous prime is 234470309. The next prime is 234470347. The reversal of 234470340 is 43074432.

234470340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12996 + 234457344 = 114^2 + 15312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234470347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226464 + ... + 227496.

Almost surely, 2234470340 is an apocalyptic number.

234470340 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 234470340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387290904).

234470340 is an abundant number, since it is smaller than the sum of its proper divisors (540111468).

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

234470340 is a wasteful number, since it uses less digits than its factorization.

234470340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 234470340 is about 15312.4243671602. The cubic root of 234470340 is about 616.6366085503.

The spelling of 234470340 in words is "two hundred thirty-four million, four hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 97 117 130 156 180 194 195 234 260 291 388 390 468 485 582 585 780 873 970 1033 1164 1170 1261 1455 1746 1940 2066 2340 2522 2910 3099 3492 3783 4132 4365 5044 5165 5820 6198 6305 7566 8730 9297 10330 11349 12396 12610 13429 15132 15495 17460 18594 18915 20660 22698 25220 26858 30990 37188 37830 40287 45396 46485 53716 56745 61980 67145 75660 80574 92970 100201 113490 120861 134290 161148 185940 200402 201435 226980 241722 268580 300603 400804 402870 483444 501005 601206 604305 805740 901809 1002010 1202412 1208610 1302613 1503015 1803618 2004020 2417220 2605226 3006030 3607236 3907839 4509045 5210452 6012060 6513065 7815678 9018090 11723517 13026130 15631356 18036180 19539195 23447034 26052260 39078390 46894068 58617585 78156780 117235170 234470340