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34911940 = 2257298599
BaseRepresentation
bin1000010100101…
…1011011000100
32102200201011211
42011023123010
532414140230
63244141204
7602514040
oct205133304
972621154
1034911940
1118785948
12b837804
13730496b
1448cb020
1530e942a
hex214b6c4

34911940 has 48 divisors (see below), whose sum is σ = 86688000. Its totient is φ = 11555712.

The previous prime is 34911901. The next prime is 34911967. The reversal of 34911940 is 4911943.

It is a super-3 number, since 3×349119403 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240 + ... + 8359.

It is an arithmetic number, because the mean of its divisors is an integer number (1806000).

Almost surely, 234911940 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 34911940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43344000).

34911940 is an abundant number, since it is smaller than the sum of its proper divisors (51776060).

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

34911940 is a wasteful number, since it uses less digits than its factorization.

34911940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8644 (or 8642 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 34911940 is about 5908.6326675467. The cubic root of 34911940 is about 326.8320671945.

The spelling of 34911940 in words is "thirty-four million, nine hundred eleven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 8599 17198 34396 42995 60193 85990 120386 171980 240772 249371 300965 498742 601930 997484 1203860 1246855 1745597 2493710 3491194 4987420 6982388 8727985 17455970 34911940