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34538430 = 2351577333
BaseRepresentation
bin1000001111000…
…0001110111110
32101222201211010
42003300032332
532320212210
63232140050
7566400063
oct203601676
971881733
1034538430
1118550263
12b697626
137203954
144830c6a
153073920
hex20f03be

34538430 has 32 divisors (see below), whose sum is σ = 83431584. Its totient is φ = 9150336.

The previous prime is 34538429. The next prime is 34538431. The reversal of 34538430 is 3483543.

34538430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34538429) and next prime (34538431).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34538431) 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, 1044 + ... + 8376.

It is an arithmetic number, because the mean of its divisors is an integer number (2607237).

Almost surely, 234538430 is an apocalyptic number.

34538430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34538430 is an abundant number, since it is smaller than the sum of its proper divisors (48893154).

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

34538430 is a wasteful number, since it uses less digits than its factorization.

34538430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 34538430 is about 5876.9405305822. The cubic root of 34538430 is about 325.6623336983.

The spelling of 34538430 in words is "thirty-four million, five hundred thirty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 157 314 471 785 942 1570 2355 4710 7333 14666 21999 36665 43998 73330 109995 219990 1151281 2302562 3453843 5756405 6907686 11512810 17269215 34538430