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34000336 = 243779727
BaseRepresentation
bin1000000110110…
…0110111010000
32100222101200201
42001230313100
532201002321
63212424544
7561666226
oct201546720
970871621
1034000336
1118212a57
12b478154
137075a56
144730b16
152eb9291
hex206cdd0

34000336 has 40 divisors (see below), whose sum is σ = 68606720. Its totient is φ = 16308864.

The previous prime is 34000331. The next prime is 34000339. The reversal of 34000336 is 63300043.

It is a happy number.

It is a super-2 number, since 2×340003362 = 2312045696225792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46405 + ... + 47131.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 234000336 is an apocalyptic number.

It is an amenable number.

34000336 is an abundant number, since it is smaller than the sum of its proper divisors (34606384).

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

34000336 is a wasteful number, since it uses less digits than its factorization.

34000336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 34000336 is about 5830.9807065364. The cubic root of 34000336 is about 323.9622472905.

Adding to 34000336 its reverse (63300043), we get a palindrome (97300379).

The spelling of 34000336 in words is "thirty-four million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 37 74 79 148 158 296 316 592 632 727 1264 1454 2908 2923 5816 5846 11632 11692 23384 26899 46768 53798 57433 107596 114866 215192 229732 430384 459464 918928 2125021 4250042 8500084 17000168 34000336