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34467468 = 22371812267
BaseRepresentation
bin1000001101111…
…0111010001100
32101212010110220
42003132322030
532310424333
63230431340
7565653150
oct203367214
971763426
1034467468
1118501a12
12b662550
1371aa569
144813060
15305c8b3
hex20dee8c

34467468 has 48 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 9789120.

The previous prime is 34467451. The next prime is 34467473. The reversal of 34467468 is 86476443.

34467468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14071 + ... + 16337.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 234467468 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 34467468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

34467468 is an abundant number, since it is smaller than the sum of its proper divisors (57994356).

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

34467468 is a wasteful number, since it uses less digits than its factorization.

34467468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2460 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 34467468 is about 5870.9001013473. The cubic root of 34467468 is about 325.4391475692.

The spelling of 34467468 in words is "thirty-four million, four hundred sixty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2267 2534 3801 4534 5068 6801 7602 9068 13602 15204 15869 27204 31738 47607 63476 95214 190428 410327 820654 1230981 1641308 2461962 2872289 4923924 5744578 8616867 11489156 17233734 34467468