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2342320 = 245192367
BaseRepresentation
bin1000111011110110110000
311102000001121
420323312300
51044423240
6122112024
725623631
oct10736660
94360047
102342320
11135a902
1294b614
136401b6
1444d888
1531404a
hex23bdb0

2342320 has 80 divisors (see below), whose sum is σ = 6071040. Its totient is φ = 836352.

The previous prime is 2342309. The next prime is 2342357. The reversal of 2342320 is 232432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2342294 and 2342303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34927 + ... + 34993.

It is an arithmetic number, because the mean of its divisors is an integer number (75888).

22342320 is an apocalyptic number.

2342320 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 2342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520).

2342320 is an abundant number, since it is smaller than the sum of its proper divisors (3728720).

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

2342320 is a wasteful number, since it uses less digits than its factorization.

2342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2342320 is about 1530.4639819349. The cubic root of 2342320 is about 132.8053005094.

Adding to 2342320 its reverse (232432), we get a palindrome (2574752).

It can be divided in two parts, 2342 and 320, that added together give a palindrome (2662).

The spelling of 2342320 in words is "two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 67 76 80 92 95 115 134 152 184 190 230 268 304 335 368 380 437 460 536 670 760 874 920 1072 1273 1340 1520 1541 1748 1840 2185 2546 2680 3082 3496 4370 5092 5360 6164 6365 6992 7705 8740 10184 12328 12730 15410 17480 20368 24656 25460 29279 30820 34960 50920 58558 61640 101840 117116 123280 146395 234232 292790 468464 585580 1171160 2342320