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34419060 = 22335134903
BaseRepresentation
bin1000001101001…
…1000101110100
32101202200002000
42003103011310
532302402220
63225415300
7565362054
oct203230564
971680060
1034419060
1118479605
12b63a530
137191510
1447dd564
15304d390
hex20d3174

34419060 has 96 divisors (see below), whose sum is σ = 115342080. Its totient is φ = 8470656.

The previous prime is 34419053. The next prime is 34419097. The reversal of 34419060 is 6091443.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4569 + ... + 9471.

It is an arithmetic number, because the mean of its divisors is an integer number (1201480).

Almost surely, 234419060 is an apocalyptic number.

34419060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34419060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57671040).

34419060 is an abundant number, since it is smaller than the sum of its proper divisors (80923020).

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

34419060 is a wasteful number, since it uses less digits than its factorization.

34419060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34419060 is about 5866.7759459519. The cubic root of 34419060 is about 325.2867213334.

The spelling of 34419060 in words is "thirty-four million, four hundred nineteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 4903 7020 9806 14709 19612 24515 29418 44127 49030 58836 63739 73545 88254 98060 127478 132381 147090 176508 191217 220635 254956 264762 294180 318695 382434 441270 529524 573651 637390 661905 764868 882540 956085 1147302 1274780 1323810 1720953 1912170 2294604 2647620 2868255 3441906 3824340 5736510 6883812 8604765 11473020 17209530 34419060