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34920937 = 7326553
BaseRepresentation
bin1000010100110…
…1100111101001
32102201011112001
42011031213221
532414432222
63244251001
7602552212
oct205154751
972634461
1034920937
1118791687
12b840a61
137308a9c
1448d0409
1530ebe27
hex214d9e9

34920937 has 6 divisors (see below), whose sum is σ = 35411262. Its totient is φ = 34437312.

The previous prime is 34920929. The next prime is 34920947. The reversal of 34920937 is 73902943.

34920937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 2413-rd star number.

It can be written as a sum of positive squares in 3 ways, for example, as 4769856 + 30151081 = 2184^2 + 5491^2 .

It is not a de Polignac number, because 34920937 - 23 = 34920929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34920896 and 34920905.

It is not an unprimeable number, because it can be changed into a prime (34920947) 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 5 ways as a sum of consecutive naturals, for example, 2053 + ... + 8605.

It is an arithmetic number, because the mean of its divisors is an integer number (5901877).

Almost surely, 234920937 is an apocalyptic number.

It is an amenable number.

34920937 is a deficient number, since it is larger than the sum of its proper divisors (490325).

34920937 is an frugal number, since it uses more digits than its factorization.

34920937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 34920937 is about 5909.3939621589. The cubic root of 34920937 is about 326.8601402602.

The spelling of 34920937 in words is "thirty-four million, nine hundred twenty thousand, nine hundred thirty-seven".

Divisors: 1 73 5329 6553 478369 34920937