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2353429 = 131723463
BaseRepresentation
bin1000111110100100010101
311102120022001
420332210111
51100302204
6122235301
726001211
oct10764425
94376261
102353429
111368191
12955b31
13645280
14453941
153174a4
hex23e915

2353429 has 16 divisors (see below), whose sum is σ = 2806272. Its totient is φ = 1951488.

The previous prime is 2353423. The next prime is 2353453. The reversal of 2353429 is 9243532.

2353429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 4-Lehmer number, since φ(2353429) divides (2353429-1)4.

It is a cyclic number.

It is not a de Polignac number, because 2353429 - 219 = 1829141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2353397 and 2353406.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4852 + ... + 5314.

It is an arithmetic number, because the mean of its divisors is an integer number (175392).

22353429 is an apocalyptic number.

It is an amenable number.

2353429 is a deficient number, since it is larger than the sum of its proper divisors (452843).

2353429 is a wasteful number, since it uses less digits than its factorization.

2353429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its digits is 6480, while the sum is 28.

The square root of 2353429 is about 1534.0889804702. The cubic root of 2353429 is about 133.0149228549.

It can be divided in two parts, 235 and 3429, that multiplied together give a triangular number (805815 = T1269).

The spelling of 2353429 in words is "two million, three hundred fifty-three thousand, four hundred twenty-nine".

Divisors: 1 13 17 23 221 299 391 463 5083 6019 7871 10649 102323 138437 181033 2353429