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430442829 = 3413938231
BaseRepresentation
bin11001101010000…
…000100101001101
31002222221202120000
4121222000211031
51340143132304
6110413514513
713444463235
oct3152004515
91088852500
10430442829
11200a79083
121001a2a39
136b23cccb
144124acc5
1527bc8939
hex19a8094d

430442829 has 20 divisors (see below), whose sum is σ = 647650080. Its totient is φ = 284889960.

The previous prime is 430442809. The next prime is 430442869. The reversal of 430442829 is 928244034.

It is not a de Polignac number, because 430442829 - 29 = 430442317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 430442793 and 430442802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430442809) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7857 + ... + 30374.

It is an arithmetic number, because the mean of its divisors is an integer number (32382504).

Almost surely, 2430442829 is an apocalyptic number.

It is an amenable number.

430442829 is a deficient number, since it is larger than the sum of its proper divisors (217207251).

430442829 is a wasteful number, since it uses less digits than its factorization.

430442829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38382 (or 38373 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 430442829 is about 20747.1161610475. The cubic root of 430442829 is about 755.0432435796.

The spelling of 430442829 in words is "four hundred thirty million, four hundred forty-two thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 81 139 417 1251 3753 11259 38231 114693 344079 1032237 3096711 5314109 15942327 47826981 143480943 430442829