Search a number
-
+
352140210 = 234517107239
BaseRepresentation
bin10100111111010…
…011101110110010
3220112121120120000
4110333103232302
51210121441320
654535330430
711504066562
oct2477235662
9815546500
10352140210
11170857174
1299b20a16
1357c553b6
1434aa6da2
1520dacc90
hex14fd3bb2

352140210 has 160 divisors (see below), whose sum is σ = 1016167680. Its totient is φ = 87187968.

The previous prime is 352140197. The next prime is 352140241. The reversal of 352140210 is 12041253.

352140210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1473271 + ... + 1473509.

It is an arithmetic number, because the mean of its divisors is an integer number (6351048).

Almost surely, 2352140210 is an apocalyptic number.

352140210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352140210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508083840).

352140210 is an abundant number, since it is smaller than the sum of its proper divisors (664027470).

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

352140210 is a wasteful number, since it uses less digits than its factorization.

352140210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 352140210 is about 18765.3992763277. The cubic root of 352140210 is about 706.1634027532.

Adding to 352140210 its reverse (12041253), we get a palindrome (364181463).

The spelling of 352140210 in words is "three hundred fifty-two million, one hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 107 135 153 162 170 214 239 255 270 306 321 405 459 478 510 535 642 717 765 810 918 963 1070 1195 1377 1434 1530 1605 1819 1926 2151 2295 2390 2754 2889 3210 3585 3638 4063 4302 4590 4815 5457 5778 6453 6885 7170 8126 8667 9095 9630 10755 10914 12189 12906 13770 14445 16371 17334 18190 19359 20315 21510 24378 25573 27285 28890 32265 32742 36567 38718 40630 43335 49113 51146 54570 60945 64530 73134 76719 81855 86670 96795 98226 109701 121890 127865 147339 153438 163710 182835 193590 219402 230157 245565 255730 294678 329103 365670 383595 434741 460314 491130 548505 658206 690471 736695 767190 869482 1097010 1150785 1304223 1380942 1473390 1645515 2071413 2173705 2301570 2608446 3291030 3452355 3912669 4142826 4347410 6521115 6904710 7825338 10357065 11738007 13042230 19563345 20714130 23476014 35214021 39126690 58690035 70428042 117380070 176070105 352140210