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34940052 = 22337113409
BaseRepresentation
bin1000010101001…
…0010010010100
32102202010202000
42011102102110
532421040202
63244515300
7602662020
oct205222224
972663660
1034940052
11187a4a84
12b84bb30
1373146b4
1448d7380
15310291c
hex2152494

34940052 has 96 divisors (see below), whose sum is σ = 104697600. Its totient is φ = 9870336.

The previous prime is 34940047. The next prime is 34940089. The reversal of 34940052 is 25004943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34939998 and 34940025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85224 + ... + 85632.

It is an arithmetic number, because the mean of its divisors is an integer number (1090600).

Almost surely, 234940052 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 34940052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52348800).

34940052 is an abundant number, since it is smaller than the sum of its proper divisors (69757548).

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

34940052 is a wasteful number, since it uses less digits than its factorization.

34940052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34940052 is about 5911.0110810250. The cubic root of 34940052 is about 326.9197682128.

Adding to 34940052 its reverse (25004943), we get a palindrome (59944995).

It can be divided in two parts, 349 and 40052, that added together give a square (40401 = 2012).

The spelling of 34940052 in words is "thirty-four million, nine hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 409 452 678 756 791 818 1017 1227 1356 1582 1636 2034 2373 2454 2863 3051 3164 3681 4068 4746 4908 5726 6102 7119 7362 8589 9492 11043 11452 12204 14238 14724 17178 21357 22086 25767 28476 34356 42714 44172 46217 51534 77301 85428 92434 103068 138651 154602 184868 277302 309204 323519 415953 554604 647038 831906 970557 1247859 1294076 1663812 1941114 2495718 2911671 3882228 4991436 5823342 8735013 11646684 17470026 34940052