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34401642 = 23111730661
BaseRepresentation
bin1000001100111…
…0110101101010
32101201210011220
42003032311222
532301323032
63225202510
7565260222
oct203166552
971653156
1034401642
1118467510
12b630436
137186602
1447d7082
15304812c
hex20ced6a

34401642 has 32 divisors (see below), whose sum is σ = 79475904. Its totient is φ = 9811200.

The previous prime is 34401641. The next prime is 34401707. The reversal of 34401642 is 24610443.

34401642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34401641) 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, 14209 + ... + 16452.

It is an arithmetic number, because the mean of its divisors is an integer number (2483622).

Almost surely, 234401642 is an apocalyptic number.

34401642 is an abundant number, since it is smaller than the sum of its proper divisors (45074262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34401642 is a wasteful number, since it uses less digits than its factorization.

34401642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30694.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34401642 is about 5865.2912971139. The cubic root of 34401642 is about 325.2318408871.

The spelling of 34401642 in words is "thirty-four million, four hundred one thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 30661 61322 91983 183966 337271 521237 674542 1011813 1042474 1563711 2023626 3127422 5733607 11467214 17200821 34401642