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245335068 = 223411193623
BaseRepresentation
bin11101001111110…
…00010000011100
3122002122022110000
432213320100130
51000301210233
640202214300
76036212406
oct1647702034
9562568400
10245335068
11116537960
126a1b4390
133ba9b2a4
1424823b76
1516811d13
hexe9f841c

245335068 has 120 divisors (see below), whose sum is σ = 736686720. Its totient is φ = 70411680.

The previous prime is 245335067. The next prime is 245335093. The reversal of 245335068 is 860533542.

It is a happy number.

245335068 is a `hidden beast` number, since 245 + 3 + 350 + 68 = 666.

245335068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245335061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65905 + ... + 69527.

It is an arithmetic number, because the mean of its divisors is an integer number (6139056).

Almost surely, 2245335068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245335068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368343360).

245335068 is an abundant number, since it is smaller than the sum of its proper divisors (491351652).

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

245335068 is a wasteful number, since it uses less digits than its factorization.

245335068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 245335068 is about 15663.1755401004. The cubic root of 245335068 is about 626.0176003109.

The spelling of 245335068 in words is "two hundred forty-five million, three hundred thirty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 297 324 342 396 418 513 594 627 684 836 891 1026 1188 1254 1539 1782 1881 2052 2508 3078 3564 3623 3762 5643 6156 7246 7524 10869 11286 14492 16929 21738 22572 32607 33858 39853 43476 65214 67716 68837 79706 97821 119559 130428 137674 159412 195642 206511 239118 275348 293463 358677 391284 413022 478236 586926 619533 717354 757207 826044 1076031 1173852 1239066 1434708 1514414 1858599 2152062 2271621 2478132 3028828 3228093 3717198 4304124 4543242 5575797 6456186 6814863 7434396 9086484 11151594 12912372 13629726 20444589 22303188 27259452 40889178 61333767 81778356 122667534 245335068