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34060400 = 2452117741
BaseRepresentation
bin1000000111101…
…1100001110000
32101002110002022
42001323201300
532204413100
63214011012
7562336313
oct201734160
971073068
1034060400
11182540a0
12b4a6a68
1370971aa
14474897a
152ecbe85
hex207b870

34060400 has 60 divisors (see below), whose sum is σ = 89280744. Its totient is φ = 12384000.

The previous prime is 34060391. The next prime is 34060417. The reversal of 34060400 is 406043.

It is a super-2 number, since 2×340604002 = 2320221696320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530 + ... + 8270.

Almost surely, 234060400 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 34060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640372).

34060400 is an abundant number, since it is smaller than the sum of its proper divisors (55220344).

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

34060400 is a wasteful number, since it uses less digits than its factorization.

34060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34060400 is about 5836.1288539579. The cubic root of 34060400 is about 324.1529024789.

Adding to 34060400 its reverse (406043), we get a palindrome (34466443).

The spelling of 34060400 in words is "thirty-four million, sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 7741 15482 30964 38705 61928 77410 85151 123856 154820 170302 193525 309640 340604 387050 425755 619280 681208 774100 851510 1362416 1548200 1703020 2128775 3096400 3406040 4257550 6812080 8515100 17030200 34060400