[go: up one dir, main page]

Search a number
-
+
352117830 = 235671671049
BaseRepresentation
bin10100111111001…
…110010001000110
3220112120102212010
4110333032101012
51210120232310
654535035050
711503644411
oct2477162106
9815512763
10352117830
11170841379
1299b0ba86
1357c4815c
1434a9cb78
1520da6320
hex14fce446

352117830 has 64 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 91855104.

The previous prime is 352117819. The next prime is 352117837. The reversal of 352117830 is 38711253.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352117837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335146 + ... + 336194.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2352117830 is an apocalyptic number.

352117830 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 352117830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

352117830 is an abundant number, since it is smaller than the sum of its proper divisors (511536570).

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

352117830 is a wasteful number, since it uses less digits than its factorization.

352117830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 352117830 is about 18764.8029565994. The cubic root of 352117830 is about 706.1484425457.

The spelling of 352117830 in words is "three hundred fifty-two million, one hundred seventeen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 167 201 334 335 402 501 670 835 1002 1005 1049 1670 2010 2098 2505 3147 5010 5245 6294 10490 11189 15735 22378 31470 33567 55945 67134 70283 111890 140566 167835 175183 210849 335670 350366 351415 421698 525549 702830 875915 1051098 1054245 1751830 2108490 2627745 5255490 11737261 23474522 35211783 58686305 70423566 117372610 176058915 352117830