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34429501 = 1973103241
BaseRepresentation
bin1000001101010…
…1101000111101
32101210012101201
42003111220331
532303221001
63225535501
7565434361
oct203255075
971705351
1034429501
1118486437
12b644591
1371961b2
1448032a1
153051501
hex20d5a3d

34429501 has 16 divisors (see below), whose sum is σ = 37248640. Its totient is φ = 31726080.

The previous prime is 34429481. The next prime is 34429513. The reversal of 34429501 is 10592443.

34429501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34429501 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34429501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34429531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142741 + ... + 142981.

It is an arithmetic number, because the mean of its divisors is an integer number (2328040).

Almost surely, 234429501 is an apocalyptic number.

It is an amenable number.

34429501 is a deficient number, since it is larger than the sum of its proper divisors (2819139).

34429501 is a wasteful number, since it uses less digits than its factorization.

34429501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 34429501 is about 5867.6657198583. The cubic root of 34429501 is about 325.3196098482.

It can be divided in two parts, 3442950 and 1, that added together give a cube (3442951 = 1513).

The spelling of 34429501 in words is "thirty-four million, four hundred twenty-nine thousand, five hundred one".

Divisors: 1 19 73 103 241 1387 1957 4579 7519 17593 24823 142861 334267 471637 1812079 34429501