Search a number
-
+
245574378 = 23272299601
BaseRepresentation
bin11101010001100…
…10101011101010
3122010002110201100
432220302223222
51000331340003
640211302230
76041230200
oct1650625352
9563073640
10245574378
11116690735
126a2aa976
133bb531aa
1424887070
151685cba3
hexea32aea

245574378 has 72 divisors (see below), whose sum is σ = 640357380. Its totient is φ = 67737600.

The previous prime is 245574361. The next prime is 245574391. The reversal of 245574378 is 873475542.

245574378 is a `hidden beast` number, since 2 + 4 + 5 + 574 + 3 + 78 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239537529 + 6036849 = 15477^2 + 2457^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20778 + ... + 30378.

Almost surely, 2245574378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245574378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320178690).

245574378 is an abundant number, since it is smaller than the sum of its proper divisors (394783002).

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

245574378 is a wasteful number, since it uses less digits than its factorization.

245574378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652 (or 9642 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 245574378 is about 15670.8129336037. The cubic root of 245574378 is about 626.2210820070.

The spelling of 245574378 in words is "two hundred forty-five million, five hundred seventy-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2842 3654 4263 8526 9601 12789 19202 25578 28803 57606 67207 86409 134414 172818 201621 278429 403242 470449 556858 604863 835287 940898 1209726 1411347 1670574 1949003 2505861 2822694 3898006 4234041 5011722 5847009 8468082 11694018 13643021 17541027 27286042 35082054 40929063 81858126 122787189 245574378