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34429629 = 3131575623
BaseRepresentation
bin1000001101010…
…1101010111101
32101210012120110
42003111222331
532303222004
63225540233
7565434633
oct203255275
971705513
1034429629
1118486543
12b644679
137196280
144803353
153051589
hex20d5abd

34429629 has 16 divisors (see below), whose sum is σ = 49761152. Its totient is φ = 21048768.

The previous prime is 34429609. The next prime is 34429651. The reversal of 34429629 is 92692443.

It is not a de Polignac number, because 34429629 - 217 = 34298557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34429609) 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, 3312 + ... + 8934.

It is an arithmetic number, because the mean of its divisors is an integer number (3110072).

Almost surely, 234429629 is an apocalyptic number.

34429629 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34429629 is a deficient number, since it is larger than the sum of its proper divisors (15331523).

34429629 is a wasteful number, since it uses less digits than its factorization.

34429629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796.

The product of its digits is 93312, while the sum is 39.

The square root of 34429629 is about 5867.6766270816. The cubic root of 34429629 is about 325.3200129992.

The spelling of 34429629 in words is "thirty-four million, four hundred twenty-nine thousand, six hundred twenty-nine".

Divisors: 1 3 13 39 157 471 2041 5623 6123 16869 73099 219297 882811 2648433 11476543 34429629