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2350343040 = 27354173409
BaseRepresentation
bin1000110000010111…
…0110001110000000
320001210120210112020
42030011312032000
514303141434130
61025120001440
7112146405033
oct21405661600
96053523466
102350343040
11aa6786571
12557160280
132b5c20736
1418421501a
15db517e10
hex8c176380

2350343040 has 256 divisors, whose sum is σ = 7798593600. Its totient is φ = 601620480.

The previous prime is 2350343029. The next prime is 2350343071. The reversal of 2350343040 is 403430532.

It is a super-2 number, since 2×23503430402 = 11048224811352883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2350343040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5746356 + ... + 5746764.

Almost surely, 22350343040 is an apocalyptic number.

2350343040 is a gapful number since it is divisible by the number (20) 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 2350343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899296800).

2350343040 is an abundant number, since it is smaller than the sum of its proper divisors (5448250560).

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

2350343040 is a wasteful number, since it uses less digits than its factorization.

2350343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2350343040 is about 48480.3366324946. The cubic root of 2350343040 is about 1329.5675832464.

Adding to 2350343040 its reverse (403430532), we get a palindrome (2753773572).

The spelling of 2350343040 in words is "two billion, three hundred fifty million, three hundred forty-three thousand, forty".