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34018480 = 245616971
BaseRepresentation
bin1000000111000…
…1010010110000
32101000022120201
42001301102300
532202042410
63213044544
7562103146
oct201612260
971008521
1034018480
1118225651
12b486754
1370810a2
144737596
152ebe83a
hex20714b0

34018480 has 40 divisors (see below), whose sum is σ = 80401104. Its totient is φ = 13382400.

The previous prime is 34018451. The next prime is 34018483. The reversal of 34018480 is 8481043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34018483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1395 + ... + 8365.

Almost surely, 234018480 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 34018480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40200552).

34018480 is an abundant number, since it is smaller than the sum of its proper divisors (46382624).

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

34018480 is a wasteful number, since it uses less digits than its factorization.

34018480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 34018480 is about 5832.5363265050. The cubic root of 34018480 is about 324.0198636402.

It can be divided in two parts, 3401 and 8480, that added together give a square (11881 = 1092).

The spelling of 34018480 in words is "thirty-four million, eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 6971 13942 27884 34855 55768 69710 111536 139420 278840 425231 557680 850462 1700924 2126155 3401848 4252310 6803696 8504620 17009240 34018480