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2303424 = 26333143
BaseRepresentation
bin1000110010010111000000
311100000201000
420302113000
51042202144
6121212000
725402344
oct10622700
94300630
102303424
111333662
12931000
13628596
1443d624
15307769
hex2325c0

2303424 has 112 divisors (see below), whose sum is σ = 7152640. Its totient is φ = 725760.

The previous prime is 2303407. The next prime is 2303437. The reversal of 2303424 is 4243032.

2303424 = T241 + T242 + ... + T302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2303397 and 2303406.

It is a congruent number.

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, 53547 + ... + 53589.

22303424 is an apocalyptic number.

2303424 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 2303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576320).

2303424 is an abundant number, since it is smaller than the sum of its proper divisors (4849216).

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

2303424 is a wasteful number, since it uses less digits than its factorization.

2303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2303424 is about 1517.7035283612. The cubic root of 2303424 is about 132.0660826143.

Adding to 2303424 its reverse (4243032), we get a palindrome (6546456).

The spelling of 2303424 in words is "two million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 43 48 54 62 64 72 86 93 96 108 124 129 144 172 186 192 216 248 258 279 288 344 372 387 432 496 516 558 576 688 744 774 837 864 992 1032 1116 1161 1333 1376 1488 1548 1674 1728 1984 2064 2232 2322 2666 2752 2976 3096 3348 3999 4128 4464 4644 5332 5952 6192 6696 7998 8256 8928 9288 10664 11997 12384 13392 15996 17856 18576 21328 23994 24768 26784 31992 35991 37152 42656 47988 53568 63984 71982 74304 85312 95976 127968 143964 191952 255936 287928 383904 575856 767808 1151712 2303424