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34709444 = 22721117947
BaseRepresentation
bin1000010001100…
…1111111000100
32102022102101222
42010121333010
532341200234
63235535512
7601011500
oct204317704
972272358
1034709444
11186577a0
12b75a598
137263743
144877300
1530a942e
hex2119fc4

34709444 has 72 divisors (see below), whose sum is σ = 81702432. Its totient is φ = 12714240.

The previous prime is 34709399. The next prime is 34709449. The reversal of 34709444 is 44490743.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34709449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36179 + ... + 37125.

It is an arithmetic number, because the mean of its divisors is an integer number (1134756).

Almost surely, 234709444 is an apocalyptic number.

34709444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34709444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40851216).

34709444 is an abundant number, since it is smaller than the sum of its proper divisors (46992988).

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

34709444 is a wasteful number, since it uses less digits than its factorization.

34709444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 34709444 is about 5891.4721420032. The cubic root of 34709444 is about 326.1989451482.

It can be divided in two parts, 34709 and 444, that added together give a palindrome (35153).

The spelling of 34709444 in words is "thirty-four million, seven hundred nine thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 374 476 539 748 833 947 1078 1309 1666 1894 2156 2618 3332 3788 5236 6629 9163 10417 13258 16099 18326 20834 26516 32198 36652 41668 46403 64396 72919 92806 112693 145838 177089 185612 225386 291676 354178 450772 510433 708356 788851 1020866 1239623 1577702 2041732 2479246 3155404 4958492 8677361 17354722 34709444