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34121232 = 24322111123
BaseRepresentation
bin1000001000101…
…0011000010000
32101012112112100
42002022120100
532213334412
63215200400
7563011545
oct202123020
971175470
1034121232
1118295872
12b516100
1370b8aa2
144762bcc
152edeedc
hex208a610

34121232 has 60 divisors (see below), whose sum is σ = 96030064. Its totient is φ = 11309760.

The previous prime is 34121221. The next prime is 34121233. The reversal of 34121232 is 23212143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

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

It is not an unprimeable number, because it can be changed into a prime (34121233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29823 + ... + 30945.

Almost surely, 234121232 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 34121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48015032).

34121232 is an abundant number, since it is smaller than the sum of its proper divisors (61908832).

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

34121232 is a wasteful number, since it uses less digits than its factorization.

34121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1339 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 34121232 is about 5841.3382028436. The cubic root of 34121232 is about 324.3457671318.

Adding to 34121232 its reverse (23212143), we get a palindrome (57333375).

The spelling of 34121232 in words is "thirty-four million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1123 1266 1688 1899 2246 2532 3369 3376 3798 4492 5064 6738 7596 8984 10107 10128 13476 15192 17968 20214 26952 30384 40428 53904 80856 161712 236953 473906 710859 947812 1421718 1895624 2132577 2843436 3791248 4265154 5686872 8530308 11373744 17060616 34121232