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2542344 = 233737409
BaseRepresentation
bin1001101100101100001000
311210011102220
421230230020
51122323334
6130254040
730416040
oct11545410
94704386
102542344
111487112
12a27320
136b025c
144a2720
15353449
hex26cb08

2542344 has 64 divisors (see below), whose sum is σ = 7478400. Its totient is φ = 705024.

The previous prime is 2542327. The next prime is 2542363. The reversal of 2542344 is 4432452.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6012 + ... + 6420.

It is an arithmetic number, because the mean of its divisors is an integer number (116850).

22542344 is an apocalyptic number.

2542344 is a gapful number since it is divisible by the number (24) 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 2542344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739200).

2542344 is an abundant number, since it is smaller than the sum of its proper divisors (4936056).

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

2542344 is a wasteful number, since it uses less digits than its factorization.

2542344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its digits is 3840, while the sum is 24.

The square root of 2542344 is about 1594.4729536747. The cubic root of 2542344 is about 136.4828568684.

Adding to 2542344 its reverse (4432452), we get a palindrome (6974796).

The spelling of 2542344 in words is "two million, five hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 409 444 518 777 818 888 1036 1227 1554 1636 2072 2454 2863 3108 3272 4908 5726 6216 8589 9816 11452 15133 17178 22904 30266 34356 45399 60532 68712 90798 105931 121064 181596 211862 317793 363192 423724 635586 847448 1271172 2542344