Search a number
-
+
34866240 = 263536319
BaseRepresentation
bin1000010100000…
…0010001000000
32102121101111020
42011000101000
532411204430
63243145440
7602233563
oct205002100
972541436
1034866240
1118754582
12b815280
1372b9c16
1448b84da
1530dab10
hex2140440

34866240 has 56 divisors (see below), whose sum is σ = 110703360. Its totient is φ = 9297408.

The previous prime is 34866239. The next prime is 34866257. The reversal of 34866240 is 4266843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17200 + ... + 19119.

Almost surely, 234866240 is an apocalyptic number.

34866240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34866240 is an abundant number, since it is smaller than the sum of its proper divisors (75837120).

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

34866240 is a wasteful number, since it uses less digits than its factorization.

34866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36339 (or 36329 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 34866240 is about 5904.7641781870. The cubic root of 34866240 is about 326.6893963545.

The spelling of 34866240 in words is "thirty-four million, eight hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 36319 72638 108957 145276 181595 217914 290552 363190 435828 544785 581104 726380 871656 1089570 1162208 1452760 1743312 2179140 2324416 2905520 3486624 4358280 5811040 6973248 8716560 11622080 17433120 34866240