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3500499240 = 2334572171297
BaseRepresentation
bin1101000010100101…
…0110000100101000
3100000221210210020000
43100221112010220
524132111433430
61335203503000
7152513516100
oct32051260450
910027723200
103500499240
111536a38987
12818387a60
1343a2b2934
14252c8c200
151574a9e60
hexd0a56128

3500499240 has 480 divisors, whose sum is σ = 14502735720. Its totient is φ = 752467968.

The previous prime is 3500499239. The next prime is 3500499251. The reversal of 3500499240 is 429940053.

It can be written as a sum of positive squares in 4 ways, for example, as 3492100836 + 8398404 = 59094^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3500499195 and 3500499204.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2698272 + ... + 2699568.

Almost surely, 23500499240 is an apocalyptic number.

3500499240 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 3500499240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251367860).

3500499240 is an abundant number, since it is smaller than the sum of its proper divisors (11002236480).

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

3500499240 is a wasteful number, since it uses less digits than its factorization.

3500499240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3500499240 is about 59165.0170286462. The cubic root of 3500499240 is about 1518.3666723475.

The spelling of 3500499240 in words is "three billion, five hundred million, four hundred ninety-nine thousand, two hundred forty".