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34679890 = 2574783127
BaseRepresentation
bin1000010001001…
…0110001010010
32102020220212101
42010102301102
532334224030
63235151014
7600526360
oct204226122
972226771
1034679890
1118637573
12b74546a
13725315b
14486a630
1530a07ca
hex2112c52

34679890 has 64 divisors (see below), whose sum is σ = 74317824. Its totient is φ = 11406528.

The previous prime is 34679873. The next prime is 34679893. The reversal of 34679890 is 9897643.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 34679890.

It is not an unprimeable number, because it can be changed into a prime (34679893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273007 + ... + 273133.

It is an arithmetic number, because the mean of its divisors is an integer number (1161216).

Almost surely, 234679890 is an apocalyptic number.

34679890 is an abundant number, since it is smaller than the sum of its proper divisors (39637934).

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

34679890 is a wasteful number, since it uses less digits than its factorization.

34679890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 34679890 is about 5888.9634062371. The cubic root of 34679890 is about 326.1063361442.

The spelling of 34679890 in words is "thirty-four million, six hundred seventy-nine thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 14 35 47 70 83 94 127 166 235 254 329 415 470 581 635 658 830 889 1162 1270 1645 1778 2905 3290 3901 4445 5810 5969 7802 8890 10541 11938 19505 21082 27307 29845 39010 41783 52705 54614 59690 73787 83566 105410 136535 147574 208915 273070 368935 417830 495427 737870 990854 2477135 3467989 4954270 6935978 17339945 34679890