Search a number
-
+
293020308 = 223373112503
BaseRepresentation
bin10001011101110…
…010001010010100
3202102100222022000
4101131302022110
51100003122213
645024235300
710155426420
oct2135621224
9672328260
10293020308
11140447549
128216bb30
1348925bc9
142acb7b80
151aad0c73
hex11772294

293020308 has 96 divisors (see below), whose sum is σ = 896286720. Its totient is φ = 81012960.

The previous prime is 293020303. The next prime is 293020309. The reversal of 293020308 is 803020392.

293020308 = 4172 + 4182 + ... + 9832.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293020303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17185 + ... + 29687.

It is an arithmetic number, because the mean of its divisors is an integer number (9336320).

Almost surely, 2293020308 is an apocalyptic number.

293020308 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293020308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448143360).

293020308 is an abundant number, since it is smaller than the sum of its proper divisors (603266412).

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

293020308 is a wasteful number, since it uses less digits than its factorization.

293020308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 293020308 is about 17117.8359613591. The cubic root of 293020308 is about 664.2005642009.

The spelling of 293020308 in words is "two hundred ninety-three million, twenty thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 12503 23436 25006 37509 50012 75018 87521 112527 150036 175042 225054 262563 337581 350084 387593 450108 525126 675162 775186 787689 1050252 1162779 1350324 1550372 1575378 2325558 2363067 2713151 3150756 3488337 4651116 4726134 5426302 6976674 8139453 9452268 10465011 10852604 13953348 16278906 20930022 24418359 32557812 41860044 48836718 73255077 97673436 146510154 293020308