Search a number
-
+
34682436 = 22322341887
BaseRepresentation
bin1000010001001…
…1011001000100
32102021001100200
42010103121010
532334314221
63235210500
7600536655
oct204233104
972231320
1034682436
1118639478
12b746a30
137254369
14486b52c
1530a1426
hex2113644

34682436 has 36 divisors (see below), whose sum is σ = 91483392. Its totient is φ = 11057904.

The previous prime is 34682423. The next prime is 34682471. The reversal of 34682436 is 63428643.

It is a happy number.

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 34682436.

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, 20116 + ... + 21771.

Almost surely, 234682436 is an apocalyptic number.

34682436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34682436 is an abundant number, since it is smaller than the sum of its proper divisors (56800956).

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

34682436 is a wasteful number, since it uses less digits than its factorization.

34682436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41920 (or 41915 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34682436 is about 5889.1795693458. The cubic root of 34682436 is about 326.1143162389.

The spelling of 34682436 in words is "thirty-four million, six hundred eighty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 41887 83774 125661 167548 251322 376983 502644 753966 963401 1507932 1926802 2890203 3853604 5780406 8670609 11560812 17341218 34682436