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240014034 = 2321329113313
BaseRepresentation
bin11100100111001…
…01001011010010
3121201121222100200
432103211023102
5442420422114
635452200030
75643041241
oct1623451322
9551558320
10240014034
11113533107
1268469016
133a957350
1423c3a958
1516110409
hexe4e52d2

240014034 has 96 divisors (see below), whose sum is σ = 586338480. Its totient is φ = 70447104.

The previous prime is 240014017. The next prime is 240014053. The reversal of 240014034 is 430410042.

240014034 is digitally balanced in base 2, 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 1404225 + 238609809 = 1185^2 + 15447^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 240013998 and 240014016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766662 + ... + 766974.

Almost surely, 2240014034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240014034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293169240).

240014034 is an abundant number, since it is smaller than the sum of its proper divisors (346324446).

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

240014034 is a wasteful number, since it uses less digits than its factorization.

240014034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240014034 is about 15492.3863236107. The cubic root of 240014034 is about 621.4586139827.

Adding to 240014034 its reverse (430410042), we get a palindrome (670424076).

The spelling of 240014034 in words is "two hundred forty million, fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 113 117 174 226 234 261 313 339 377 522 626 678 754 939 1017 1131 1469 1878 2034 2262 2817 2938 3277 3393 4069 4407 5634 6554 6786 8138 8814 9077 9831 12207 13221 18154 19662 24414 26442 27231 29493 35369 36621 42601 54462 58986 70738 73242 81693 85202 106107 118001 127803 163386 212214 236002 255606 318321 354003 383409 459797 636642 708006 766818 919594 1025701 1062009 1379391 2051402 2124018 2758782 3077103 4138173 6154206 8276346 9231309 13334113 18462618 26668226 40002339 80004678 120007017 240014034