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34264350 = 23352171493
BaseRepresentation
bin1000001010110…
…1010100011110
32101110210212000
42002231110132
532232424400
63222223130
7564146031
oct202552436
971423760
1034264350
111838334a
12b584aa6
137138c83
14479d018
15301c600
hex20ad51e

34264350 has 96 divisors (see below), whose sum is σ = 100038240. Its totient is φ = 8593920.

The previous prime is 34264343. The next prime is 34264357. The reversal of 34264350 is 5346243.

It is an interprime number because it is at equal distance from previous prime (34264343) and next prime (34264357).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34264357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22204 + ... + 23696.

It is an arithmetic number, because the mean of its divisors is an integer number (1042065).

Almost surely, 234264350 is an apocalyptic number.

34264350 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 34264350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50019120).

34264350 is an abundant number, since it is smaller than the sum of its proper divisors (65773890).

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

34264350 is a wasteful number, since it uses less digits than its factorization.

34264350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34264350 is about 5853.5758302084. The cubic root of 34264350 is about 324.7986129083.

It can be divided in two parts, 3426 and 4350, that added together give a 5-th power (7776 = 65).

The spelling of 34264350 in words is "thirty-four million, two hundred sixty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 135 150 153 170 225 255 270 306 425 450 459 510 675 765 850 918 1275 1350 1493 1530 2295 2550 2986 3825 4479 4590 7465 7650 8958 11475 13437 14930 22395 22950 25381 26874 37325 40311 44790 50762 67185 74650 76143 80622 111975 126905 134370 152286 201555 223950 228429 253810 335925 380715 403110 456858 634525 671850 685287 761430 1007775 1142145 1269050 1370574 1903575 2015550 2284290 3426435 3807150 5710725 6852870 11421450 17132175 34264350