Search a number
-
+
336732240 = 243513107927
BaseRepresentation
bin10100000100100…
…010000001010000
3212110121202210110
4110010202001100
51142200412430
653225201320
711226114435
oct2404420120
9773552713
10336732240
11163092a09
1294930240
13549bc160
1432a15b8c
151e8677b0
hex14122050

336732240 has 80 divisors (see below), whose sum is σ = 1124178048. Its totient is φ = 82887168.

The previous prime is 336732239. The next prime is 336732247. The reversal of 336732240 is 42237633.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3367322402 = 226777202910835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 336732198 and 336732207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336732247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50844 + ... + 57083.

Almost surely, 2336732240 is an apocalyptic number.

336732240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336732240 is an abundant number, since it is smaller than the sum of its proper divisors (787445808).

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

336732240 is a wasteful number, since it uses less digits than its factorization.

336732240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107956 (or 107950 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 336732240 is about 18350.2653931762. The cubic root of 336732240 is about 695.7099795760.

Adding to 336732240 its reverse (42237633), we get a palindrome (378969873).

The spelling of 336732240 in words is "three hundred thirty-six million, seven hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 107927 215854 323781 431708 539635 647562 863416 1079270 1295124 1403051 1618905 1726832 2158540 2590248 2806102 3237810 4209153 4317080 5180496 5612204 6475620 7015255 8418306 8634160 11224408 12951240 14030510 16836612 21045765 22448816 25902480 28061020 33673224 42091530 56122040 67346448 84183060 112244080 168366120 336732240