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2342321340 = 2235671933019
BaseRepresentation
bin1000101110011100…
…1111110010111100
320001020111020211020
42023213033302330
514244113240330
61024232024140
7112021255122
oct21347176274
96036436736
102342321340
11aa21a7767
12554532050
132b4372478
14183127912
15da981210
hex8b9cfcbc

2342321340 has 96 divisors (see below), whose sum is σ = 6693093120. Its totient is φ = 611905536.

The previous prime is 2342321321. The next prime is 2342321347. The reversal of 2342321340 is 431232432.

It is a self number, because there is not a number n which added to its sum of digits gives 2342321340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342321347) by changing a digit.

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, 774351 + ... + 777369.

It is an arithmetic number, because the mean of its divisors is an integer number (69719720).

Almost surely, 22342321340 is an apocalyptic number.

2342321340 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 2342321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346546560).

2342321340 is an abundant number, since it is smaller than the sum of its proper divisors (4350771780).

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

2342321340 is a wasteful number, since it uses less digits than its factorization.

2342321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2342321340 is about 48397.5344413329. The cubic root of 2342321340 is about 1328.0532583458.

Adding to 2342321340 its reverse (431232432), we get a palindrome (2773553772).

The spelling of 2342321340 in words is "two billion, three hundred forty-two million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 193 201 268 335 386 402 579 670 772 804 965 1005 1158 1340 1930 2010 2316 2895 3019 3860 4020 5790 6038 9057 11580 12076 12931 15095 18114 25862 30190 36228 38793 45285 51724 60380 64655 77586 90570 129310 155172 181140 193965 202273 258620 387930 404546 582667 606819 775860 809092 1011365 1165334 1213638 1748001 2022730 2330668 2427276 2913335 3034095 3496002 4045460 5826670 6068190 6992004 8740005 11653340 12136380 17480010 34960020 39038689 78077378 117116067 156154756 195193445 234232134 390386890 468464268 585580335 780773780 1171160670 2342321340