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245140434 = 232721122297
BaseRepresentation
bin11101001110010…
…00101111010010
3122002021102110100
432213020233102
51000223443214
640154113230
76034442100
oct1647105722
9562242410
10245140434
11116414700
126a11b816
133ba30816
14247b2c70
15167c4309
hexe9c8bd2

245140434 has 108 divisors (see below), whose sum is σ = 679424382. Its totient is φ = 63645120.

The previous prime is 245140403. The next prime is 245140439. The reversal of 245140434 is 434041542.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 211789809 + 33350625 = 14553^2 + 5775^2 .

It is a junction number, because it is equal to n+sod(n) for n = 245140398 and 245140407.

It is not an unprimeable number, because it can be changed into a prime (245140439) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 105574 + ... + 107870.

Almost surely, 2245140434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245140434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339712191).

245140434 is an abundant number, since it is smaller than the sum of its proper divisors (434283948).

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

245140434 is a wasteful number, since it uses less digits than its factorization.

245140434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 245140434 is about 15656.9611994154. The cubic root of 245140434 is about 625.8520083497.

Adding to 245140434 its reverse (434041542), we get a palindrome (679181976).

The spelling of 245140434 in words is "two hundred forty-five million, one hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 363 441 462 539 693 726 847 882 1078 1089 1386 1617 1694 2178 2297 2541 3234 4594 4851 5082 5929 6891 7623 9702 11858 13782 15246 16079 17787 20673 25267 32158 35574 41346 48237 50534 53361 75801 96474 106722 112553 144711 151602 176869 225106 227403 277937 289422 337659 353738 454806 530607 555874 675318 833811 1012977 1061214 1238083 1591821 1667622 1945559 2025954 2476166 2501433 3183642 3714249 3891118 5002866 5836677 7428498 11142747 11673354 13618913 17510031 22285494 27237826 35020062 40856739 81713478 122570217 245140434