Search a number
-
+
302405250540 = 223529230975269
BaseRepresentation
bin1000110011010001100…
…00011110110111101100
31001220120010211102012110
410121220300132313230
514423311221004130
6350531214004020
730563612134521
oct4315060366754
91056503742173
10302405250540
11107281975668
124a736aa6610
1322694235393
14108ca76b148
157ced920ab0
hex4668c1edec

302405250540 has 96 divisors (see below), whose sum is σ = 876323448000. Its totient is φ = 77825907712.

The previous prime is 302405250529. The next prime is 302405250557. The reversal of 302405250540 is 45052504203.

302405250540 is digitally balanced in base 4, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 302405250498 and 302405250507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3980026 + ... + 4055294.

It is an arithmetic number, because the mean of its divisors is an integer number (9128369250).

Almost surely, 2302405250540 is an apocalyptic number.

302405250540 is a gapful number since it is divisible by the number (30) 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 302405250540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438161724000).

302405250540 is an abundant number, since it is smaller than the sum of its proper divisors (573918197460).

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

302405250540 is a wasteful number, since it uses less digits than its factorization.

302405250540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77619 (or 77617 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 302405250540 its reverse (45052504203), we get a palindrome (347457754743).

The spelling of 302405250540 in words is "three hundred two billion, four hundred five million, two hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 2309 4618 6927 9236 11545 13854 23090 27708 34635 46180 66961 69270 75269 133922 138540 150538 200883 225807 267844 301076 334805 376345 401766 451614 669610 752690 803532 903228 1004415 1129035 1339220 1505380 2008830 2182801 2258070 4017660 4365602 4516140 6548403 8731204 10914005 13096806 21828010 26193612 32742015 43656020 65484030 130968060 173796121 347592242 521388363 695184484 868980605 1042776726 1737961210 2085553452 2606941815 3475922420 5040087509 5213883630 10080175018 10427767260 15120262527 20160350036 25200437545 30240525054 50400875090 60481050108 75601312635 100801750180 151202625270 302405250540