Search a number
-
+
2430010304 = 26415471693
BaseRepresentation
bin1001000011010111…
…0000001111000000
320021100111022110122
42100311300033000
514434040312204
61041043315412
7114134514101
oct22065601700
96240438418
102430010304
11103774a787
1257997bb68
132c9595527
14190a323a8
15e35030be
hex90d703c0

2430010304 has 56 divisors (see below), whose sum is σ = 4951616208. Its totient is φ = 1182504960.

The previous prime is 2430010291. The next prime is 2430010313. The reversal of 2430010304 is 4030100342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1434482 + ... + 1436174.

It is an arithmetic number, because the mean of its divisors is an integer number (88421718).

Almost surely, 22430010304 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 2430010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475808104).

2430010304 is an abundant number, since it is smaller than the sum of its proper divisors (2521605904).

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

2430010304 is a wasteful number, since it uses less digits than its factorization.

2430010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2430010304 is about 49295.1346889325. The cubic root of 2430010304 is about 1344.4233242276.

Adding to 2430010304 its reverse (4030100342), we get a palindrome (6460110646).

The spelling of 2430010304 in words is "two billion, four hundred thirty million, ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 547 656 1094 1312 1693 2188 2624 3386 4376 6772 8752 13544 17504 22427 27088 35008 44854 54176 69413 89708 108352 138826 179416 277652 358832 555304 717664 926071 1110608 1435328 1852142 2221216 3704284 4442432 7408568 14817136 29634272 37968911 59268544 75937822 151875644 303751288 607502576 1215005152 2430010304