Search a number
-
+
352941480 = 23325980393
BaseRepresentation
bin10101000010010…
…111010110101000
3220121010021200200
4111002113112220
51210323111410
655004432200
711513644623
oct2502272650
9817107620
10352941480
11171254181
129a248660
1358176018
1434c34dba
1520eba3c0
hex150975a8

352941480 has 48 divisors (see below), whose sum is σ = 1147060980. Its totient is φ = 94117632.

The previous prime is 352941439. The next prime is 352941517. The reversal of 352941480 is 84149253.

It can be written as a sum of positive squares in 2 ways, for example, as 345290724 + 7650756 = 18582^2 + 2766^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 489837 + ... + 490556.

Almost surely, 2352941480 is an apocalyptic number.

352941480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352941480 is an abundant number, since it is smaller than the sum of its proper divisors (794119500).

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

352941480 is a wasteful number, since it uses less digits than its factorization.

352941480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980410 (or 980403 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 352941480 is about 18786.7368108461. The cubic root of 352941480 is about 706.6986052176.

The spelling of 352941480 in words is "three hundred fifty-two million, nine hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 980393 1960786 2941179 3921572 4901965 5882358 7843144 8823537 9803930 11764716 14705895 17647074 19607860 23529432 29411790 35294148 39215720 44117685 58823580 70588296 88235370 117647160 176470740 352941480