Search a number
-
+
10304464300 = 22521371111641
BaseRepresentation
bin10011001100011000…
…11010010110101100
3222121010200000121221
421212030122112230
5132100420324200
64422300233124
7513232333654
oct114614322654
928533600557
1010304464300
1144086685a9
121bb6b3b7a4
13c82abc270
146da779364
1540499e91a
hex26631a5ac

10304464300 has 72 divisors (see below), whose sum is σ = 24420124512. Its totient is φ = 3751104000.

The previous prime is 10304464297. The next prime is 10304464307. The reversal of 10304464300 is 346440301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10304464307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36480 + ... + 148120.

It is an arithmetic number, because the mean of its divisors is an integer number (339168396).

Almost surely, 210304464300 is an apocalyptic number.

10304464300 is a gapful number since it is divisible by the number (10) 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 10304464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12210062256).

10304464300 is an abundant number, since it is smaller than the sum of its proper divisors (14115660212).

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

10304464300 is a wasteful number, since it uses less digits than its factorization.

10304464300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111739 (or 111732 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The spelling of 10304464300 in words is "ten billion, three hundred four million, four hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 650 710 923 1300 1420 1775 1846 3550 3692 4615 7100 9230 18460 23075 46150 92300 111641 223282 446564 558205 1116410 1451333 2232820 2791025 2902666 5582050 5805332 7256665 7926511 11164100 14513330 15853022 29026660 31706044 36283325 39632555 72566650 79265110 103044643 145133300 158530220 198162775 206089286 396325550 412178572 515223215 792651100 1030446430 2060892860 2576116075 5152232150 10304464300