Search a number
-
+
30840747360 = 2535151607701
BaseRepresentation
bin11100101110010000…
…000111010101100000
32221121100022021221020
4130232100013111200
51001130212403420
622100144125440
72141156012223
oct345620072540
987540267836
1030840747360
1112096885a65
125b88606880
132ba6613a47
1416c7d7d5ba
15c0784e340
hex72e407560

30840747360 has 192 divisors, whose sum is σ = 98092560384. Its totient is φ = 8144640000.

The previous prime is 30840747341. The next prime is 30840747367. The reversal of 30840747360 is 6374704803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30840747367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43995010 + ... + 43995710.

It is an arithmetic number, because the mean of its divisors is an integer number (510898752).

Almost surely, 230840747360 is an apocalyptic number.

30840747360 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 30840747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49046280192).

30840747360 is an abundant number, since it is smaller than the sum of its proper divisors (67251813024).

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

30840747360 is a wasteful number, since it uses less digits than its factorization.

30840747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 30840747360 in words is "thirty billion, eight hundred forty million, seven hundred forty-seven thousand, three hundred sixty".