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34101012 = 22311416301
BaseRepresentation
bin1000001000010…
…1011100010100
32101011111210110
42002011130110
532212213022
63214523020
7562565601
oct202053424
971144713
1034101012
1118281660
12b506470
1370ac81a
1447596a8
152ed900c
hex2085714

34101012 has 48 divisors (see below), whose sum is σ = 88933824. Its totient is φ = 10080000.

The previous prime is 34100999. The next prime is 34101017. The reversal of 34101012 is 21010143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101017) 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, 2262 + ... + 8562.

It is an arithmetic number, because the mean of its divisors is an integer number (1852788).

Almost surely, 234101012 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 34101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44466912).

34101012 is an abundant number, since it is smaller than the sum of its proper divisors (54832812).

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

34101012 is a wasteful number, since it uses less digits than its factorization.

34101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 34101012 is about 5839.6071785695. The cubic root of 34101012 is about 324.2816861387.

Adding to 34101012 its reverse (21010143), we get a palindrome (55111155).

The spelling of 34101012 in words is "thirty-four million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 6301 12602 18903 25204 37806 69311 75612 138622 207933 258341 277244 415866 516682 775023 831732 1033364 1550046 2841751 3100092 5683502 8525253 11367004 17050506 34101012