Search a number
-
+
245311320 = 23352936977
BaseRepresentation
bin11101001111100…
…10011101011000
3122002121002212110
432213302131120
51000244430240
640201512320
76036053232
oct1647623530
9562532773
10245311320
11116521031
126a1a26a0
133ba90537
1424819252
1516809c80
hexe9f2758

245311320 has 64 divisors (see below), whose sum is σ = 738551520. Its totient is φ = 65183744.

The previous prime is 245311301. The next prime is 245311333. The reversal of 245311320 is 23113542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31672 + ... + 38648.

Almost surely, 2245311320 is an apocalyptic number.

245311320 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 245311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369275760).

245311320 is an abundant number, since it is smaller than the sum of its proper divisors (493240200).

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

245311320 is a wasteful number, since it uses less digits than its factorization.

245311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 245311320 is about 15662.4174379308. The cubic root of 245311320 is about 625.9974005275.

Adding to 245311320 its reverse (23113542), we get a palindrome (268424862).

The spelling of 245311320 in words is "two hundred forty-five million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 586 879 1172 1465 1758 2344 2930 3516 4395 5860 6977 7032 8790 11720 13954 17580 20931 27908 34885 35160 41862 55816 69770 83724 104655 139540 167448 209310 279080 418620 837240 2044261 4088522 6132783 8177044 10221305 12265566 16354088 20442610 24531132 30663915 40885220 49062264 61327830 81770440 122655660 245311320