Search a number
-
+
2352342020 = 225731723877
BaseRepresentation
bin1000110000110101…
…1110010000000100
320001221100100121112
42030031132100010
514304144421040
61025230504152
7112202402000
oct21415362004
96057310545
102352342020
11aa7921416
12557965058
132b6470572
141845b5700
15db7b0365
hex8c35e404

2352342020 has 192 divisors, whose sum is σ = 6372172800. Its totient is φ = 725243904.

The previous prime is 2352342019. The next prime is 2352342023. The reversal of 2352342020 is 202432532.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2352342023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2681822 + ... + 2682698.

It is an arithmetic number, because the mean of its divisors is an integer number (33188400).

Almost surely, 22352342020 is an apocalyptic number.

2352342020 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 2352342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186086400).

2352342020 is an abundant number, since it is smaller than the sum of its proper divisors (4019830780).

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

2352342020 is a wasteful number, since it uses less digits than its factorization.

2352342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2352342020 is about 48500.9486505161. The cubic root of 2352342020 is about 1329.9444113424.

Adding to 2352342020 its reverse (202432532), we get a palindrome (2554774552).

The spelling of 2352342020 in words is "two billion, three hundred fifty-two million, three hundred forty-two thousand, twenty".