Search a number
-
+
34248840 = 23352312409
BaseRepresentation
bin1000001010100…
…1100010001000
32101110000120120
42002221202020
532231430330
63222023240
7564052563
oct202514210
971400516
1034248840
111837272a
12b577b20
137131bb2
1447974da
153017c10
hex20a9888

34248840 has 64 divisors (see below), whose sum is σ = 107222400. Its totient is φ = 8735232.

The previous prime is 34248833. The next prime is 34248847. The reversal of 34248840 is 4884243.

It is an interprime number because it is at equal distance from previous prime (34248833) and next prime (34248847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34248847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3445 + ... + 8964.

It is an arithmetic number, because the mean of its divisors is an integer number (1675350).

Almost surely, 234248840 is an apocalyptic number.

34248840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34248840 is an abundant number, since it is smaller than the sum of its proper divisors (72973560).

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

34248840 is a wasteful number, since it uses less digits than its factorization.

34248840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 34248840 is about 5852.2508490324. The cubic root of 34248840 is about 324.7495980500.

The spelling of 34248840 in words is "thirty-four million, two hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 12409 24818 37227 49636 62045 74454 99272 124090 148908 186135 248180 285407 297816 372270 496360 570814 744540 856221 1141628 1427035 1489080 1712442 2283256 2854070 3424884 4281105 5708140 6849768 8562210 11416280 17124420 34248840