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34478796 = 22311299007
BaseRepresentation
bin1000001110000…
…1101011001100
32101212201000110
42003201223030
532311310141
63231000020
7566031162
oct203415314
971781013
1034478796
111850a480
12b669010
1371b2771
144817232
153060e16
hex20e1acc

34478796 has 48 divisors (see below), whose sum is σ = 90800640. Its totient is φ = 10086720.

The previous prime is 34478791. The next prime is 34478813. The reversal of 34478796 is 69787443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34478791) 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 15 ways as a sum of consecutive naturals, for example, 676 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (1891680).

Almost surely, 234478796 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 34478796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45400320).

34478796 is an abundant number, since it is smaller than the sum of its proper divisors (56321844).

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

34478796 is a wasteful number, since it uses less digits than its factorization.

34478796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9052 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 34478796 is about 5871.8647804594. The cubic root of 34478796 is about 325.4747963619.

The spelling of 34478796 in words is "thirty-four million, four hundred seventy-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 9007 18014 27021 36028 54042 99077 108084 198154 261203 297231 396308 522406 594462 783609 1044812 1188924 1567218 2873233 3134436 5746466 8619699 11492932 17239398 34478796