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34790101 = 3753113157
BaseRepresentation
bin1000010010110…
…1101011010101
32102110112001021
42010231223111
532401240401
63241401141
7601465603
oct204555325
972415037
1034790101
1118702355
12b7991b1
137291378
144898873
1530c32a1
hex212dad5

34790101 has 16 divisors (see below), whose sum is σ = 36960624. Its totient is φ = 32707584.

The previous prime is 34790081. The next prime is 34790123. The reversal of 34790101 is 10109743.

34790101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 286225 + 34503876 = 535^2 + 5874^2 .

It is a cyclic number.

It is not a de Polignac number, because 34790101 - 219 = 34265813 is a prime.

It is a super-2 number, since 2×347901012 = 2420702255180402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34791101) 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, 221515 + ... + 221671.

It is an arithmetic number, because the mean of its divisors is an integer number (2310039).

Almost surely, 234790101 is an apocalyptic number.

It is an amenable number.

34790101 is a deficient number, since it is larger than the sum of its proper divisors (2170523).

34790101 is a wasteful number, since it uses less digits than its factorization.

34790101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 34790101 is about 5898.3134029992. The cubic root of 34790101 is about 326.4514208614.

Adding to 34790101 its reverse (10109743), we get a palindrome (44899844).

The spelling of 34790101 in words is "thirty-four million, seven hundred ninety thousand, one hundred one".

Divisors: 1 37 53 113 157 1961 4181 5809 5989 8321 17741 221593 307877 656417 940273 34790101