Search a number
-
+
3098081736 = 233346730713
BaseRepresentation
bin1011100010101000…
…1111100111001000
321222220120212012000
42320222033213020
522321102103421
61231230351000
7136526155161
oct27052174710
97886525160
103098081736
11134a871732
1272565b460
133a4b05b79
14215658768
15131eba226
hexb8a8f9c8

3098081736 has 64 divisors (see below), whose sum is σ = 8624491200. Its totient is φ = 1030449024.

The previous prime is 3098081731. The next prime is 3098081737. The reversal of 3098081736 is 6371808903.

It is a happy number.

3098081736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30980817362 = 19196220885873547392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3098081691 and 3098081700.

It is not an unprimeable number, because it can be changed into a prime (3098081731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85516 + ... + 116228.

It is an arithmetic number, because the mean of its divisors is an integer number (134757675).

Almost surely, 23098081736 is an apocalyptic number.

3098081736 is a gapful number since it is divisible by the number (36) 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 3098081736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312245600).

3098081736 is an abundant number, since it is smaller than the sum of its proper divisors (5526409464).

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

3098081736 is a wasteful number, since it uses less digits than its factorization.

3098081736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31195 (or 31185 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3098081736 is about 55660.4144433007. The cubic root of 3098081736 is about 1457.7989189066.

The spelling of 3098081736 in words is "three billion, ninety-eight million, eighty-one thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 467 934 1401 1868 2802 3736 4203 5604 8406 11208 12609 16812 25218 30713 33624 50436 61426 92139 100872 122852 184278 245704 276417 368556 552834 737112 829251 1105668 1658502 2211336 3317004 6634008 14342971 28685942 43028913 57371884 86057826 114743768 129086739 172115652 258173478 344231304 387260217 516346956 774520434 1032693912 1549040868 3098081736