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2334442420 = 2254115718133
BaseRepresentation
bin1000101100100100…
…1100001110110100
320000200122221222101
42023021030032310
514240104124140
61023351111444
7111564301402
oct21311141664
96020587871
102334442420
11a98806162
12551972584
132b284419b
14182076472
15d9e2699a
hex8b24c3b4

2334442420 has 48 divisors (see below), whose sum is σ = 5054163408. Its totient is φ = 905149440.

The previous prime is 2334442417. The next prime is 2334442423. The reversal of 2334442420 is 242444332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2334442417) and next prime (2334442423).

It can be written as a sum of positive squares in 8 ways, for example, as 544475556 + 1789966864 = 23334^2 + 42308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334442423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119674 + ... + 137806.

It is an arithmetic number, because the mean of its divisors is an integer number (105295071).

Almost surely, 22334442420 is an apocalyptic number.

2334442420 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 2334442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527081704).

2334442420 is an abundant number, since it is smaller than the sum of its proper divisors (2719720988).

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

2334442420 is a wasteful number, since it uses less digits than its factorization.

2334442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18340 (or 18338 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 2334442420 is about 48316.0679277608. The cubic root of 2334442420 is about 1326.5625178827.

Adding to 2334442420 its reverse (242444332), we get a palindrome (2576886752).

The spelling of 2334442420 in words is "two billion, three hundred thirty-four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 157 164 205 314 410 628 785 820 1570 3140 6437 12874 18133 25748 32185 36266 64370 72532 90665 128740 181330 362660 743453 1486906 2846881 2973812 3717265 5693762 7434530 11387524 14234405 14869060 28468810 56937620 116722121 233444242 466888484 583610605 1167221210 2334442420