Search a number
-
+
3500490240 = 293251322931
BaseRepresentation
bin1101000010100101…
…0011111000000000
3100000221210022212200
43100221103320000
524132111141430
61335203353200
7152513450622
oct32051237000
910027708780
103500490240
111536a32145
12818382800
1343a2ab800
14252c88c12
151574a7460
hexd0a53e00

3500490240 has 720 divisors, whose sum is σ = 14018209920. Its totient is φ = 805109760.

The previous prime is 3500490167. The next prime is 3500490263. The reversal of 3500490240 is 420940053.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112919025 + ... + 112919055.

It is an arithmetic number, because the mean of its divisors is an integer number (19469736).

Almost surely, 23500490240 is an apocalyptic number.

3500490240 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 3500490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009104960).

3500490240 is an abundant number, since it is smaller than the sum of its proper divisors (10517719680).

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

3500490240 is a wasteful number, since it uses less digits than its factorization.

3500490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3500490240 is about 59164.9409701387. The cubic root of 3500490240 is about 1518.3653710749.

The spelling of 3500490240 in words is "three billion, five hundred million, four hundred ninety thousand, two hundred forty".