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234204320 = 2557229873
BaseRepresentation
bin11011111010110…
…10110010100000
3121022200210221002
431331122302200
5434424014240
635123451132
75542463300
oct1575326240
9538623832
10234204320
11110225199
1266526aa8
13396a1b4c
1423167600
1515863d15
hexdf5aca0

234204320 has 72 divisors (see below), whose sum is σ = 643665204. Its totient is φ = 80295936.

The previous prime is 234204293. The next prime is 234204323. The reversal of 234204320 is 23402432.

It can be written as a sum of positive squares in 2 ways, for example, as 222725776 + 11478544 = 14924^2 + 3388^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 234204292 and 234204301.

It is not an unprimeable number, because it can be changed into a prime (234204323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7097 + ... + 22776.

Almost surely, 2234204320 is an apocalyptic number.

234204320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234204320 is an abundant number, since it is smaller than the sum of its proper divisors (409460884).

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

234204320 is a wasteful number, since it uses less digits than its factorization.

234204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29902 (or 29887 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 234204320 is about 15303.7354917027. The cubic root of 234204320 is about 616.4033171435.

Adding to 234204320 its reverse (23402432), we get a palindrome (257606752).

The spelling of 234204320 in words is "two hundred thirty-four million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 29873 59746 119492 149365 209111 238984 298730 418222 477968 597460 836444 955936 1045555 1194920 1463777 1672888 2091110 2389840 2927554 3345776 4182220 4779680 5855108 6691552 7318885 8364440 11710216 14637770 16728880 23420432 29275540 33457760 46840864 58551080 117102160 234204320