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2340045400 = 2352711475361
BaseRepresentation
bin1000101101111010…
…0100001001011000
320001002012121211011
42023132210021120
514243022423100
61024111143304
7111663025540
oct21336441130
96032177734
102340045400
11aa0992820
12553814b34
132b3a56564
14182ad4320
15da681bba
hex8b7a4258

2340045400 has 384 divisors, whose sum is σ = 7173826560. Its totient is φ = 688896000.

The previous prime is 2340045397. The next prime is 2340045413. The reversal of 2340045400 is 45400432.

It is a happy number.

It is a super-2 number, since 2×23400454002 = 10951624948122320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38361370 + ... + 38361430.

It is an arithmetic number, because the mean of its divisors is an integer number (18681840).

Almost surely, 22340045400 is an apocalyptic number.

2340045400 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 2340045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586913280).

2340045400 is an abundant number, since it is smaller than the sum of its proper divisors (4833781160).

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

2340045400 is a wasteful number, since it uses less digits than its factorization.

2340045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2340045400 is about 48374.0157522610. The cubic root of 2340045400 is about 1327.6229802025.

Adding to 2340045400 its reverse (45400432), we get a palindrome (2385445832).

The spelling of 2340045400 in words is "two billion, three hundred forty million, forty-five thousand, four hundred".