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2340419400 = 2333521131241
BaseRepresentation
bin1000101101111111…
…1111011101001000
320001002220121212000
42023133333131020
514243121410100
61024123151000
7111666144114
oct21337773510
96032817760
102340419400
11aa1118810
12553975460
132b3b57867
14182b90744
15da707900
hex8b7ff748

2340419400 has 576 divisors, whose sum is σ = 9308779200. Its totient is φ = 535680000.

The previous prime is 2340419399. The next prime is 2340419401. The reversal of 2340419400 is 49140432.

It is an interprime number because it is at equal distance from previous prime (2340419399) and next prime (2340419401).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340419401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57083380 + ... + 57083420.

It is an arithmetic number, because the mean of its divisors is an integer number (16161075).

Almost surely, 22340419400 is an apocalyptic number.

2340419400 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 2340419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654389600).

2340419400 is an abundant number, since it is smaller than the sum of its proper divisors (6968359800).

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

2340419400 is a wasteful number, since it uses less digits than its factorization.

2340419400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2340419400 is about 48377.8813095406. The cubic root of 2340419400 is about 1327.6937059733.

Adding to 2340419400 its reverse (49140432), we get a palindrome (2389559832).

The spelling of 2340419400 in words is "two billion, three hundred forty million, four hundred nineteen thousand, four hundred".