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234133965 = 325132937373
BaseRepresentation
bin11011111010010…
…01100111001101
3121022120020102100
431331021213031
5434414241330
635122145313
75542051212
oct1575114715
9538506370
10234133965
1111018734a
12664b2239
1339678b10
1423149b09
151584d060
hexdf499cd

234133965 has 96 divisors (see below), whose sum is σ = 465585120. Its totient is φ = 107993088.

The previous prime is 234133927. The next prime is 234133967. The reversal of 234133965 is 569331432.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 35070084 + 199063881 = 5922^2 + 14109^2 .

It is not a de Polignac number, because 234133965 - 28 = 234133709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234133967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 627519 + ... + 627891.

It is an arithmetic number, because the mean of its divisors is an integer number (4849845).

Almost surely, 2234133965 is an apocalyptic number.

It is an amenable number.

234133965 is a deficient number, since it is larger than the sum of its proper divisors (231451155).

234133965 is a wasteful number, since it uses less digits than its factorization.

234133965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 460 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 234133965 is about 15301.4366972517. The cubic root of 234133965 is about 616.3415884236.

The spelling of 234133965 in words is "two hundred thirty-four million, one hundred thirty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 29 37 39 45 65 87 111 117 145 185 195 261 333 373 377 435 481 555 585 1073 1119 1131 1305 1443 1665 1865 1885 2405 3219 3357 3393 4329 4849 5365 5595 5655 7215 9657 10817 13801 13949 14547 16095 16785 16965 21645 24245 32451 41403 41847 43641 48285 54085 69005 69745 72735 97353 124209 125541 140621 162255 179413 207015 209235 218205 400229 421863 486765 538239 621045 627705 703105 897065 1200687 1265589 1614717 2001145 2109315 2691195 3602061 5202977 6003435 6327945 8073585 15608931 18010305 26014885 46826793 78044655 234133965