Search a number
-
+
245314440 = 23335737877
BaseRepresentation
bin11101001111100…
…11001110001000
3122002121021011000
432213303032020
51000300030230
640201535000
76036065310
oct1647631610
9562537130
10245314440
11116523408
126a1a4460
133ba91a97
142481a440
151680ab60
hexe9f3388

245314440 has 256 divisors, whose sum is σ = 960883200. Its totient is φ = 54494208.

The previous prime is 245314427. The next prime is 245314457. The reversal of 245314440 is 44413542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279282 + ... + 280158.

It is an arithmetic number, because the mean of its divisors is an integer number (3753450).

Almost surely, 2245314440 is an apocalyptic number.

245314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480441600).

245314440 is an abundant number, since it is smaller than the sum of its proper divisors (715568760).

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

245314440 is a wasteful number, since it uses less digits than its factorization.

245314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

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

The square root of 245314440 is about 15662.5170390969. The cubic root of 245314440 is about 626.0000544390. Note that the first 4 decimals are identical.

Adding to 245314440 its reverse (44413542), we get a palindrome (289727982).

The spelling of 245314440 in words is "two hundred forty-five million, three hundred fourteen thousand, four hundred forty".