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2340492 = 22371117149
BaseRepresentation
bin1000111011011010001100
311101220112220
420323122030
51044343432
6122055340
725615410
oct10733214
94356486
102340492
1113594a0
1294a550
1363c40b
1444cd40
1531372c
hex23b68c

2340492 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 568320.

The previous prime is 2340491. The next prime is 2340493. The reversal of 2340492 is 2940432.

It is a happy number.

2340492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2340491) and next prime (2340493).

It is a d-powerful number, because it can be written as 29 + 311 + 43 + 0 + 48 + 92 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2340491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15634 + ... + 15782.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22340492 is an apocalyptic number.

2340492 is a gapful number since it is divisible by the number (22) 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 2340492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2340492 is an abundant number, since it is smaller than the sum of its proper divisors (4917108).

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

2340492 is a wasteful number, since it uses less digits than its factorization.

2340492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2340492 is about 1529.8666608564. The cubic root of 2340492 is about 132.7707434220.

The spelling of 2340492 in words is "two million, three hundred forty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 149 154 187 204 231 238 298 308 357 374 447 462 476 561 596 714 748 894 924 1043 1122 1309 1428 1639 1788 2086 2244 2533 2618 3129 3278 3927 4172 4917 5066 5236 6258 6556 7599 7854 9834 10132 11473 12516 15198 15708 17731 19668 22946 27863 30396 34419 35462 45892 53193 55726 68838 70924 83589 106386 111452 137676 167178 195041 212772 334356 390082 585123 780164 1170246 2340492