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2350413424 = 24236539781
BaseRepresentation
bin1000110000011000…
…0111011001110000
320001210201101002001
42030012013121300
514303201212144
61025121303344
7112150120162
oct21406073160
96053641061
102350413424
11aa6824437
12557194b54
132b5c46798
14184232932
15db52dbd4
hex8c187670

2350413424 has 40 divisors (see below), whose sum is σ = 4759686432. Its totient is φ = 1122274560.

The previous prime is 2350413413. The next prime is 2350413427. The reversal of 2350413424 is 4243140532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2350413392 and 2350413401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2350413427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235414 + ... + 245194.

Almost surely, 22350413424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2350413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379843216).

2350413424 is an abundant number, since it is smaller than the sum of its proper divisors (2409273008).

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

2350413424 is a wasteful number, since it uses less digits than its factorization.

2350413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2350413424 is about 48481.0625296105. The cubic root of 2350413424 is about 1329.5808549758.

Adding to 2350413424 its reverse (4243140532), we get a palindrome (6593553956).

The spelling of 2350413424 in words is "two billion, three hundred fifty million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 653 1306 2612 5224 9781 10448 15019 19562 30038 39124 60076 78248 120152 156496 224963 240304 449926 899852 1799704 3599408 6386993 12773986 25547972 51095944 102191888 146900839 293801678 587603356 1175206712 2350413424