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34514370 = 23351111621
BaseRepresentation
bin1000001110101…
…0010111000010
32101221111211000
42003222113002
532313424440
63231432430
7566236662
oct203522702
971844730
1034514370
1118534180
12b685716
1371c5a07
1448261a2
15306b730
hex20ea5c2

34514370 has 64 divisors (see below), whose sum is σ = 100414080. Its totient is φ = 8366400.

The previous prime is 34514357. The next prime is 34514371. The reversal of 34514370 is 7341543.

34514370 = T290 + T291 + ... + T613.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34514371) 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, 2841 + ... + 8780.

It is an arithmetic number, because the mean of its divisors is an integer number (1568970).

Almost surely, 234514370 is an apocalyptic number.

34514370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34514370 is an abundant number, since it is smaller than the sum of its proper divisors (65899710).

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

34514370 is a wasteful number, since it uses less digits than its factorization.

34514370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34514370 is about 5874.8931905184. The cubic root of 34514370 is about 325.5866956735.

The spelling of 34514370 in words is "thirty-four million, five hundred fourteen thousand, three hundred seventy".

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 11621 23242 34863 58105 69726 104589 116210 127831 174315 209178 255662 313767 348630 383493 522945 627534 639155 766986 1045890 1150479 1278310 1568835 1917465 2300958 3137670 3451437 3834930 5752395 6902874 11504790 17257185 34514370