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2353428 = 2233711283
BaseRepresentation
bin1000111110100100010100
311102120022000
420332210110
51100302203
6122235300
726001210
oct10764424
94376260
102353428
111368190
12955b30
1364527c
14453940
153174a3
hex23e914

2353428 has 96 divisors (see below), whose sum is σ = 7633920. Its totient is φ = 609120.

The previous prime is 2353423. The next prime is 2353453. The reversal of 2353428 is 8243532.

2353428 is a `hidden beast` number, since 235 + 3 + 428 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8175 + ... + 8457.

It is an arithmetic number, because the mean of its divisors is an integer number (79520).

22353428 is an apocalyptic number.

2353428 is a gapful number since it is divisible by the number (28) 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 2353428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816960).

2353428 is an abundant number, since it is smaller than the sum of its proper divisors (5280492).

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

2353428 is a wasteful number, since it uses less digits than its factorization.

2353428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2353428 is about 1534.0886545438. The cubic root of 2353428 is about 133.0149040151.

It can be divided in two parts, 235 and 3428, that added together give a palindrome (3663).

The spelling of 2353428 in words is "two million, three hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 283 297 308 378 396 462 566 594 693 756 849 924 1132 1188 1386 1698 1981 2079 2547 2772 3113 3396 3962 4158 5094 5943 6226 7641 7924 8316 9339 10188 11886 12452 15282 17829 18678 21791 23772 28017 30564 35658 37356 43582 53487 56034 65373 71316 84051 87164 106974 112068 130746 168102 196119 213948 261492 336204 392238 588357 784476 1176714 2353428