Search a number
-
+
34920360 = 2332597001
BaseRepresentation
bin1000010100110…
…1011110101000
32102201010201200
42011031132220
532414422420
63244244200
7602550426
oct205153650
972633650
1034920360
1118791202
12b840660
137308747
1448d0116
1530ebb90
hex214d7a8

34920360 has 48 divisors (see below), whose sum is σ = 113492340. Its totient is φ = 9312000.

The previous prime is 34920359. The next prime is 34920373. The reversal of 34920360 is 6302943.

It can be written as a sum of positive squares in 2 ways, for example, as 34786404 + 133956 = 5898^2 + 366^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48141 + ... + 48860.

Almost surely, 234920360 is an apocalyptic number.

34920360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34920360 is an abundant number, since it is smaller than the sum of its proper divisors (78571980).

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

34920360 is a wasteful number, since it uses less digits than its factorization.

34920360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97018 (or 97011 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34920360 is about 5909.3451413841. The cubic root of 34920360 is about 326.8583400093.

The spelling of 34920360 in words is "thirty-four million, nine hundred twenty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 97001 194002 291003 388004 485005 582006 776008 873009 970010 1164012 1455015 1746018 1940020 2328024 2910030 3492036 3880040 4365045 5820060 6984072 8730090 11640120 17460180 34920360