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34684980 = 22351152553
BaseRepresentation
bin1000010001010…
…0000000110100
32102021011211220
42010110000310
532334404410
63235230340
7600550251
oct204240064
972234756
1034684980
1118640380
12b7483b0
137255575
14486c428
1530a2070
hex2114034

34684980 has 48 divisors (see below), whose sum is σ = 105948864. Its totient is φ = 8408320.

The previous prime is 34684973. The next prime is 34684987. The reversal of 34684980 is 8948643.

It is an interprime number because it is at equal distance from previous prime (34684973) and next prime (34684987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34684987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25617 + ... + 26936.

It is an arithmetic number, because the mean of its divisors is an integer number (2207268).

Almost surely, 234684980 is an apocalyptic number.

34684980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34684980 is an abundant number, since it is smaller than the sum of its proper divisors (71263884).

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

34684980 is a wasteful number, since it uses less digits than its factorization.

34684980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52576 (or 52574 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 34684980 is about 5889.3955547238. The cubic root of 34684980 is about 326.1222896747.

It can be divided in two parts, 3468 and 4980, that added together give a palindrome (8448).

The spelling of 34684980 in words is "thirty-four million, six hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 52553 105106 157659 210212 262765 315318 525530 578083 630636 788295 1051060 1156166 1576590 1734249 2312332 2890415 3153180 3468498 5780830 6936996 8671245 11561660 17342490 34684980