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34634412 = 22332373191
BaseRepresentation
bin1000010000011…
…1101010101100
32102011121111000
42010013222230
532331300122
63234200300
7600246651
oct204075254
972147430
1034634412
111860638a
12b723090
137238547
144857c28
1530920ac
hex2107aac

34634412 has 96 divisors (see below), whose sum is σ = 95477760. Its totient is φ = 10834560.

The previous prime is 34634329. The next prime is 34634419. The reversal of 34634412 is 21443643.

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

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

It is not an unprimeable number, because it can be changed into a prime (34634419) 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 31 ways as a sum of consecutive naturals, for example, 181237 + ... + 181427.

It is an arithmetic number, because the mean of its divisors is an integer number (994560).

Almost surely, 234634412 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 34634412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47738880).

34634412 is an abundant number, since it is smaller than the sum of its proper divisors (60843348).

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

34634412 is a wasteful number, since it uses less digits than its factorization.

34634412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34634412 is about 5885.1008487536. The cubic root of 34634412 is about 325.9637256237.

It can be divided in two parts, 3463 and 4412, that added together give a triangular number (7875 = T125).

The spelling of 34634412 in words is "thirty-four million, six hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 73 92 108 138 146 191 207 219 276 292 382 414 438 573 621 657 764 828 876 1146 1242 1314 1679 1719 1971 2292 2484 2628 3358 3438 3942 4393 5037 5157 6716 6876 7884 8786 10074 10314 13179 13943 15111 17572 20148 20628 26358 27886 30222 39537 41829 45333 52716 55772 60444 79074 83658 90666 118611 125487 158148 167316 181332 237222 250974 320689 376461 474444 501948 641378 752922 962067 1282756 1505844 1924134 2886201 3848268 5772402 8658603 11544804 17317206 34634412