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34799490 = 23351111717
BaseRepresentation
bin1000010010111…
…1111110000010
32102110222221000
42010233332002
532402040430
63241512430
7601535145
oct204577602
972428830
1034799490
1118709410
12b7a2716
13729571b
14489c05c
1530c5e60
hex212ff82

34799490 has 64 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 8435520.

The previous prime is 34799489. The next prime is 34799491. The reversal of 34799490 is 9499743.

34799490 is a `hidden beast` number, since 3 + 479 + 94 + 90 = 666.

34799490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34799489) and next prime (34799491).

It is a super-2 number, since 2×347994902 = 2422009008520200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34799491) 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 31 ways as a sum of consecutive naturals, for example, 2889 + ... + 8828.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 234799490 is an apocalyptic number.

34799490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34799490 is an abundant number, since it is smaller than the sum of its proper divisors (66444030).

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

34799490 is a wasteful number, since it uses less digits than its factorization.

34799490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11744 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 34799490 is about 5899.1092547943. The cubic root of 34799490 is about 326.4807853129.

The spelling of 34799490 in words is "thirty-four million, seven hundred ninety-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 11717 23434 35151 58585 70302 105453 117170 128887 175755 210906 257774 316359 351510 386661 527265 632718 644435 773322 1054530 1159983 1288870 1581795 1933305 2319966 3163590 3479949 3866610 5799915 6959898 11599830 17399745 34799490