Search a number
-
+
352644240 = 243513113027
BaseRepresentation
bin10101000001001…
…110110010010000
3220120120011221210
4111001032302100
51210234103430
654554220120
711511266214
oct2501166220
9816504853
10352644240
11171070923
129a124640
13580a0940
1434b98944
1520e5c2b0
hex1504ec90

352644240 has 80 divisors (see below), whose sum is σ = 1177299648. Its totient is φ = 86803968.

The previous prime is 352644223. The next prime is 352644269. The reversal of 352644240 is 42446253.

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

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 = 352644198 and 352644207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53394 + ... + 59633.

Almost surely, 2352644240 is an apocalyptic number.

352644240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352644240 is an abundant number, since it is smaller than the sum of its proper divisors (824655408).

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

352644240 is a wasteful number, since it uses less digits than its factorization.

352644240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113056 (or 113050 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 352644240 is about 18778.8242443450. The cubic root of 352644240 is about 706.5001605253.

The spelling of 352644240 in words is "three hundred fifty-two million, six hundred forty-four 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 113027 226054 339081 452108 565135 678162 904216 1130270 1356324 1469351 1695405 1808432 2260540 2712648 2938702 3390810 4408053 4521080 5425296 5877404 6781620 7346755 8816106 9042160 11754808 13563240 14693510 17632212 22040265 23509616 27126480 29387020 35264424 44080530 58774040 70528848 88161060 117548080 176322120 352644240