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2434896 = 243237457
BaseRepresentation
bin1001010010011101010000
311120201001100
421102131100
51110404041
6124104400
726460552
oct11223520
94521040
102434896
111413412
12995100
13673389
144754d2
153316b6
hex252750

2434896 has 60 divisors (see below), whose sum is σ = 7013812. Its totient is φ = 787968.

The previous prime is 2434889. The next prime is 2434903. The reversal of 2434896 is 6984342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2434889) and next prime (2434903).

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 291600 = 1464^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 27 + 47 + 3 + 49 + 87 + 95 + 62 .

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2434896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5100 + ... + 5556.

22434896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506906).

2434896 is an abundant number, since it is smaller than the sum of its proper divisors (4578916).

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

2434896 is a wasteful number, since it uses less digits than its factorization.

2434896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2434896 is about 1560.4153293274. The cubic root of 2434896 is about 134.5323738307.

The spelling of 2434896 in words is "two million, four hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 457 592 666 888 914 1332 1371 1776 1828 2664 2742 3656 4113 5328 5484 7312 8226 10968 16452 16909 21936 32904 33818 50727 65808 67636 101454 135272 152181 202908 270544 304362 405816 608724 811632 1217448 2434896