Search a number
-
+
34681356 = 22326771423
BaseRepresentation
bin1000010001001…
…1001000001100
32102020222212200
42010103020030
532334300411
63235201500
7600533553
oct204231014
972228780
1034681356
1118638686
12b746290
137253a18
14486ad9a
1530a0e56
hex211320c

34681356 has 36 divisors (see below), whose sum is σ = 87857952. Its totient is φ = 11535264.

The previous prime is 34681319. The next prime is 34681357. The reversal of 34681356 is 65318643.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34681356.

It is not an unprimeable number, because it can be changed into a prime (34681357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23661 + ... + 25083.

Almost surely, 234681356 is an apocalyptic number.

34681356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34681356 is an abundant number, since it is smaller than the sum of its proper divisors (53176596).

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

34681356 is a wasteful number, since it uses less digits than its factorization.

34681356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2105 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 34681356 is about 5889.0878750448. The cubic root of 34681356 is about 326.1109311718.

Adding to 34681356 its reverse (65318643), we get a palindrome (99999999).

The spelling of 34681356 in words is "thirty-four million, six hundred eighty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 1423 2031 2708 2846 4062 4269 5692 6093 8124 8538 12186 12807 17076 24372 25614 51228 963371 1926742 2890113 3853484 5780226 8670339 11560452 17340678 34681356