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34480098 = 23219412459
BaseRepresentation
bin1000001110000…
…1111111100010
32101212202210200
42003201333202
532311330343
63231010030
7566035032
oct203417742
971782720
1034480098
1118510454
12b669916
1371b3233
1448178c2
1530614d3
hex20e1fe2

34480098 has 48 divisors (see below), whose sum is σ = 80589600. Its totient is φ = 10618560.

The previous prime is 34480081. The next prime is 34480099. The reversal of 34480098 is 89008443.

34480098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34480099) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12793 + ... + 15251.

It is an arithmetic number, because the mean of its divisors is an integer number (1678950).

Almost surely, 234480098 is an apocalyptic number.

34480098 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34480098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40294800).

34480098 is an abundant number, since it is smaller than the sum of its proper divisors (46109502).

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

34480098 is a wasteful number, since it uses less digits than its factorization.

34480098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34480098 is about 5871.9756470885. The cubic root of 34480098 is about 325.4788932069.

The spelling of 34480098 in words is "thirty-four million, four hundred eighty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 2459 4674 4918 7011 7377 14022 14754 22131 44262 46721 93442 100819 140163 201638 280326 302457 420489 604914 840978 907371 1814742 1915561 3831122 5746683 11493366 17240049 34480098