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232403424 = 253111012179
BaseRepresentation
bin11011101101000…
…11000111100000
3121012022022120020
431312203013200
5433443402144
635021113440
75521253001
oct1566430740
9535268506
10232403424
1110a205150
12659b8880
13391c1226
1422c191a8
151560a419
hexdda31e0

232403424 has 96 divisors (see below), whose sum is σ = 672416640. Its totient is φ = 69696000.

The previous prime is 232403417. The next prime is 232403429. The reversal of 232403424 is 424304232.

232403424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2324034242 = 108022702973847552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 232403394 and 232403403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232403429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105567 + ... + 107745.

It is an arithmetic number, because the mean of its divisors is an integer number (7004340).

Almost surely, 2232403424 is an apocalyptic number.

232403424 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 232403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336208320).

232403424 is an abundant number, since it is smaller than the sum of its proper divisors (440013216).

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

232403424 is a wasteful number, since it uses less digits than its factorization.

232403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 232403424 is about 15244.7835012505. The cubic root of 232403424 is about 614.8193216353.

Adding to 232403424 its reverse (424304232), we get a palindrome (656707656).

The spelling of 232403424 in words is "two hundred thirty-two million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2179 2222 2424 3232 3333 4358 4444 4848 6537 6666 8716 8888 9696 13074 13332 17432 17776 23969 26148 26664 34864 35552 47938 52296 53328 69728 71907 95876 104592 106656 143814 191752 209184 220079 287628 383504 440158 575256 660237 767008 880316 1150512 1320474 1760632 2301024 2420869 2640948 3521264 4841738 5281896 7042528 7262607 9683476 10563792 14525214 19366952 21127584 29050428 38733904 58100856 77467808 116201712 232403424