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4342084440 = 23351923312671
BaseRepresentation
bin1000000101100111…
…01111001101011000
3102012121101202002020
410002303233031120
532343033200230
61554505534440
7212413052211
oct40263571530
912177352066
104342084440
111928aa2341
12a121a4420
13542765a45
142d2960408
151a62e8810
hex102cef358

4342084440 has 256 divisors, whose sum is σ = 14775091200. Its totient is φ = 1015027200.

The previous prime is 4342084423. The next prime is 4342084447. The reversal of 4342084440 is 444802434.

It is a super-2 number, since 2×43420844402 = 37707394568180227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342084447) 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, 1624305 + ... + 1626975.

It is an arithmetic number, because the mean of its divisors is an integer number (57715200).

Almost surely, 24342084440 is an apocalyptic number.

4342084440 is a gapful number since it is divisible by the number (40) 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 4342084440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387545600).

4342084440 is an abundant number, since it is smaller than the sum of its proper divisors (10433006760).

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

4342084440 is a wasteful number, since it uses less digits than its factorization.

4342084440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The square root of 4342084440 is about 65894.4947624610. The cubic root of 4342084440 is about 1631.4211500816.

Adding to 4342084440 its reverse (444802434), we get a palindrome (4786886874).

The spelling of 4342084440 in words is "four billion, three hundred forty-two million, eighty-four thousand, four hundred forty".