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34998642 = 234724409
BaseRepresentation
bin1000010110000…
…0100101110010
32102212010010000
42011200211302
532424424032
63250050430
7603324600
oct205404562
972763100
1034998642
1118834aa8
12b879a16
137335273
144910870
153114e7c
hex2160972

34998642 has 60 divisors (see below), whose sum is σ = 91247310. Its totient is φ = 9997344.

The previous prime is 34998641. The next prime is 34998643. The reversal of 34998642 is 24689943.

It is an interprime number because it is at equal distance from previous prime (34998641) and next prime (34998643).

It can be written as a sum of positive squares in only one way, i.e., 34327881 + 670761 = 5859^2 + 819^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34998641) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5734 + ... + 10142.

Almost surely, 234998642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34998642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45623655).

34998642 is an abundant number, since it is smaller than the sum of its proper divisors (56248668).

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

34998642 is a wasteful number, since it uses less digits than its factorization.

34998642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4421 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 34998642 is about 5915.9650100385. The cubic root of 34998642 is about 327.1024003850.

The spelling of 34998642 in words is "thirty-four million, nine hundred ninety-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 4409 7938 8818 13227 26454 30863 39681 61726 79362 92589 119043 185178 216041 238086 277767 357129 432082 555534 648123 714258 833301 1296246 1666602 1944369 2499903 3888738 4999806 5833107 11666214 17499321 34998642