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2334134340 = 22335172511013
BaseRepresentation
bin1000101100100000…
…0001000001000100
320000200002022101000
42023020001001010
514240014244330
61023340333300
7111561546246
oct21310010104
96020068330
102334134340
11a9861574a
12551844230
132b2766ba5
14181dd6096
15d9db5560
hex8b201044

2334134340 has 192 divisors, whose sum is σ = 7727166720. Its totient is φ = 582912000.

The previous prime is 2334134333. The next prime is 2334134359. The reversal of 2334134340 is 434314332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2303674 + ... + 2304686.

It is an arithmetic number, because the mean of its divisors is an integer number (40245660).

Almost surely, 22334134340 is an apocalyptic number.

2334134340 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 2334134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863583360).

2334134340 is an abundant number, since it is smaller than the sum of its proper divisors (5393032380).

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

2334134340 is a wasteful number, since it uses less digits than its factorization.

2334134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2334134340 is about 48312.8796492198. The cubic root of 2334134340 is about 1326.5041591419.

Adding to 2334134340 its reverse (434314332), we get a palindrome (2768448672).

The spelling of 2334134340 in words is "two billion, three hundred thirty-four million, one hundred thirty-four thousand, three hundred forty".