Search a number
-
+
74334240 = 2533517207
BaseRepresentation
bin1000110111001…
…00000000100000
312011212120102000
410123210000200
5123012143430
611213124000
71561554621
oct433440040
9164776360
1074334240
1138a61462
1220a89600
1312528576
149c2da48
1567d4e60
hex46e4020

74334240 has 96 divisors (see below), whose sum is σ = 260184960. Its totient is φ = 19821312.

The previous prime is 74334233. The next prime is 74334259. The reversal of 74334240 is 4243347.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4284 + ... + 12923.

It is an arithmetic number, because the mean of its divisors is an integer number (2710260).

Almost surely, 274334240 is an apocalyptic number.

It is an amenable number.

74334240 is an abundant number, since it is smaller than the sum of its proper divisors (185850720).

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

74334240 is a wasteful number, since it uses less digits than its factorization.

74334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17231 (or 17217 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 74334240 is about 8621.7306847291. The cubic root of 74334240 is about 420.4647915727.

Adding to 74334240 its reverse (4243347), we get a palindrome (78577587).

The spelling of 74334240 in words is "seventy-four million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 17207 34414 51621 68828 86035 103242 137656 154863 172070 206484 258105 275312 309726 344140 412968 464589 516210 550624 619452 688280 774315 825936 929178 1032420 1238904 1376560 1548630 1651872 1858356 2064840 2322945 2477808 2753120 3097260 3716712 4129680 4645890 4955616 6194520 7433424 8259360 9291780 12389040 14866848 18583560 24778080 37167120 74334240