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2420340 = 22351329107
BaseRepresentation
bin1001001110111001110100
311112222002020
421032321310
51104422330
6123513140
726400246
oct11167164
94488066
102420340
11140348a
129887b0
13669870
14470096
1532c210
hex24ee74

2420340 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 569856.

The previous prime is 2420339. The next prime is 2420371. The reversal of 2420340 is 430242.

It is a happy number.

2420340 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22567 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

22420340 is an apocalyptic number.

2420340 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 2420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2420340 is an abundant number, since it is smaller than the sum of its proper divisors (5200140).

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

2420340 is a wasteful number, since it uses less digits than its factorization.

2420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2420340 is about 1555.7441949112. The cubic root of 2420340 is about 134.2637561372.

Adding to 2420340 its reverse (430242), we get a palindrome (2850582).

The spelling of 2420340 in words is "two million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 107 116 130 145 156 174 195 214 260 290 321 348 377 390 428 435 535 580 642 754 780 870 1070 1131 1284 1391 1508 1605 1740 1885 2140 2262 2782 3103 3210 3770 4173 4524 5564 5655 6206 6420 6955 7540 8346 9309 11310 12412 13910 15515 16692 18618 20865 22620 27820 31030 37236 40339 41730 46545 62060 80678 83460 93090 121017 161356 186180 201695 242034 403390 484068 605085 806780 1210170 2420340