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34289970 = 23511137993
BaseRepresentation
bin1000001011001…
…1100100110010
32101112002222220
42002303210302
532234234340
63222541510
7564313521
oct202634462
971462886
1034289970
11183a0620
12b597896
137147830
1447a84b8
153024ed0
hex20b3932

34289970 has 64 divisors (see below), whose sum is σ = 96695424. Its totient is φ = 7672320.

The previous prime is 34289953. The next prime is 34289971. The reversal of 34289970 is 7998243.

It is not an unprimeable number, because it can be changed into a prime (34289971) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 294 + ... + 8286.

It is an arithmetic number, because the mean of its divisors is an integer number (1510866).

Almost surely, 234289970 is an apocalyptic number.

34289970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34289970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48347712).

34289970 is an abundant number, since it is smaller than the sum of its proper divisors (62405454).

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

34289970 is a wasteful number, since it uses less digits than its factorization.

34289970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 34289970 is about 5855.7638272048. The cubic root of 34289970 is about 324.8795451049.

The spelling of 34289970 in words is "thirty-four million, two hundred eighty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 7993 15986 23979 39965 47958 79930 87923 103909 119895 175846 207818 239790 263769 311727 439615 519545 527538 623454 879230 1039090 1142999 1318845 1558635 2285998 2637690 3117270 3428997 5714995 6857994 11429990 17144985 34289970