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993429 = 321743151
BaseRepresentation
bin11110010100010010101
31212110201200
43302202111
5223242204
633143113
711305203
oct3624225
91773650
10993429
11619418
123baa99
1328a238
141bc073
15149539
hexf2895

993429 has 24 divisors (see below), whose sum is σ = 1564992. Its totient is φ = 604800.

The previous prime is 993407. The next prime is 993431. The reversal of 993429 is 924399.

993429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 993429 - 25 = 993397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 993393 and 993402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6504 + ... + 6654.

It is an arithmetic number, because the mean of its divisors is an integer number (65208).

2993429 is an apocalyptic number.

It is an amenable number.

993429 is a deficient number, since it is larger than the sum of its proper divisors (571563).

993429 is a wasteful number, since it uses less digits than its factorization.

993429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 993429 is about 996.7090849390. The cubic root of 993429 is about 99.7804851516.

The spelling of 993429 in words is "nine hundred ninety-three thousand, four hundred twenty-nine".

Divisors: 1 3 9 17 43 51 129 151 153 387 453 731 1359 2193 2567 6493 6579 7701 19479 23103 58437 110381 331143 993429