Search a number
-
+
34707764 = 2271397983
BaseRepresentation
bin1000010001100…
…1100100110100
32102022100002202
42010121210310
532341122024
63235524032
7601003550
oct204314464
972270082
1034707764
1118656503
12b759618
137262a50
144876860
1530a8bae
hex2119934

34707764 has 48 divisors (see below), whose sum is σ = 75602688. Its totient is φ = 13575168.

The previous prime is 34707763. The next prime is 34707773. The reversal of 34707764 is 46770743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34707763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34817 + ... + 35799.

It is an arithmetic number, because the mean of its divisors is an integer number (1575056).

Almost surely, 234707764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34707764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37801344).

34707764 is an abundant number, since it is smaller than the sum of its proper divisors (40894924).

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

34707764 is a wasteful number, since it uses less digits than its factorization.

34707764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 38.

The square root of 34707764 is about 5891.3295613130. The cubic root of 34707764 is about 326.1936821898.

The spelling of 34707764 in words is "thirty-four million, seven hundred seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 182 194 364 388 679 983 1261 1358 1966 2522 2716 3932 5044 6881 8827 12779 13762 17654 25558 27524 35308 51116 89453 95351 178906 190702 357812 381404 667457 1239563 1334914 2479126 2669828 4958252 8676941 17353882 34707764