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2342321334 = 233233750971
BaseRepresentation
bin1000101110011100…
…1111110010110110
320001020111020211000
42023213033302312
514244113240314
61024232024130
7112021255113
oct21347176266
96036436730
102342321334
11aa21a7761
12554532046
132b4372472
1418312790a
15da981209
hex8b9cfcb6

2342321334 has 64 divisors (see below), whose sum is σ = 5578375680. Its totient is φ = 726628320.

The previous prime is 2342321321. The next prime is 2342321347. The reversal of 2342321334 is 4331232432.

2342321334 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 321 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (2342321321) and next prime (2342321347).

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

It is a junction number, because it is equal to n+sod(n) for n = 2342321298 and 2342321307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20469 + ... + 71439.

It is an arithmetic number, because the mean of its divisors is an integer number (87162120).

Almost surely, 22342321334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342321334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789187840).

2342321334 is an abundant number, since it is smaller than the sum of its proper divisors (3236054346).

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

2342321334 is a wasteful number, since it uses less digits than its factorization.

2342321334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51042 (or 51036 counting only the distinct ones).

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

The square root of 2342321334 is about 48397.5343793462. The cubic root of 2342321334 is about 1328.0532572118.

Adding to 2342321334 its reverse (4331232432), we get a palindrome (6673553766).

The spelling of 2342321334 in words is "two billion, three hundred forty-two million, three hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 111 138 207 222 333 414 621 666 851 999 1242 1702 1998 2553 5106 7659 15318 22977 45954 50971 101942 152913 305826 458739 917478 1172333 1376217 1885927 2344666 2752434 3516999 3771854 5657781 7033998 10550997 11315562 16973343 21101994 31652991 33946686 43376321 50920029 63305982 86752642 101840058 130128963 260257926 390386889 780773778 1171160667 2342321334