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34020936 = 23321373449
BaseRepresentation
bin1000000111000…
…1111001001000
32101000102221200
42001301321020
532202132221
63213104200
7562113255
oct201617110
971012850
1034020936
1118227484
12b488060
137082241
14473842c
152ec0426
hex2071e48

34020936 has 48 divisors (see below), whose sum is σ = 92839500. Its totient is φ = 11254272.

The previous prime is 34020911. The next prime is 34020937. The reversal of 34020936 is 63902043.

It can be written as a sum of positive squares in 2 ways, for example, as 30802500 + 3218436 = 5550^2 + 1794^2 .

It is a super-3 number, since 3×340209363 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34020937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8140 + ... + 11588.

Almost surely, 234020936 is an apocalyptic number.

34020936 is a gapful number since it is divisible by the number (36) 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 34020936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46419750).

34020936 is an abundant number, since it is smaller than the sum of its proper divisors (58818564).

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

34020936 is a wasteful number, since it uses less digits than its factorization.

34020936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34020936 is about 5832.7468657572. The cubic root of 34020936 is about 324.0276611043.

Adding to 34020936 its reverse (63902043), we get a palindrome (97922979).

The spelling of 34020936 in words is "thirty-four million, twenty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 3449 4932 6898 9864 10347 13796 20694 27592 31041 41388 62082 82776 124164 248328 472513 945026 1417539 1890052 2835078 3780104 4252617 5670156 8505234 11340312 17010468 34020936