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34679840 = 2551316673
BaseRepresentation
bin1000010001001…
…0110000100000
32102020220210112
42010102300200
532334223330
63235150452
7600526256
oct204226040
972226715
1034679840
1118637528
12b745428
137253120
14486a5d6
1530a0795
hex2112c20

34679840 has 48 divisors (see below), whose sum is σ = 88238808. Its totient is φ = 12804096.

The previous prime is 34679839. The next prime is 34679849. The reversal of 34679840 is 4897643.

It can be written as a sum of positive squares in 4 ways, for example, as 29463184 + 5216656 = 5428^2 + 2284^2 .

It is not an unprimeable number, because it can be changed into a prime (34679849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6257 + ... + 10416.

Almost surely, 234679840 is an apocalyptic number.

It is an amenable number.

34679840 is an abundant number, since it is smaller than the sum of its proper divisors (53558968).

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

34679840 is a wasteful number, since it uses less digits than its factorization.

34679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16701 (or 16693 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 34679840 is about 5888.9591610063. The cubic root of 34679840 is about 326.1061794220.

The spelling of 34679840 in words is "thirty-four million, six hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 16673 33346 66692 83365 133384 166730 216749 266768 333460 433498 533536 666920 866996 1083745 1333840 1733992 2167490 2667680 3467984 4334980 6935968 8669960 17339920 34679840