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2338434 = 232767277
BaseRepresentation
bin1000111010111010000010
311101210201200
420322322002
51044312214
6122042030
725606410
oct10727202
94353650
102338434
11135799a
12949316
1363b4b7
1444c2b0
15312d09
hex23ae82

2338434 has 48 divisors (see below), whose sum is σ = 5898048. Its totient is φ = 655776.

The previous prime is 2338421. The next prime is 2338471. The reversal of 2338434 is 4348332.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2338398 and 2338407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8304 + ... + 8580.

It is an arithmetic number, because the mean of its divisors is an integer number (122876).

22338434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2338434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949024).

2338434 is an abundant number, since it is smaller than the sum of its proper divisors (3559614).

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

2338434 is a wasteful number, since it uses less digits than its factorization.

2338434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2338434 is about 1529.1939052978. The cubic root of 2338434 is about 132.7318168037.

It can be divided in two parts, 2338 and 434, that added together give a palindrome (2772).

The spelling of 2338434 in words is "two million, three hundred thirty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 277 402 469 554 603 831 938 1206 1407 1662 1939 2493 2814 3878 4221 4986 5817 8442 11634 17451 18559 34902 37118 55677 111354 129913 167031 259826 334062 389739 779478 1169217 2338434