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296335340 = 225722910427
BaseRepresentation
bin10001101010011…
…011011111101100
3202122121101122222
4101222123133230
51101330212330
645223254512
710225544300
oct2152333754
9678541588
10296335340
11142301144
12832aa438
1349516a72
142b4dbd00
151b0380e5
hex11a9b7ec

296335340 has 72 divisors (see below), whose sum is σ = 748938960. Its totient is φ = 98087808.

The previous prime is 296335307. The next prime is 296335367. The reversal of 296335340 is 43533692.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 296335340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23207 + ... + 33633.

It is an arithmetic number, because the mean of its divisors is an integer number (10401930).

Almost surely, 2296335340 is an apocalyptic number.

296335340 is a gapful number since it is divisible by the number (20) 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 296335340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374469480).

296335340 is an abundant number, since it is smaller than the sum of its proper divisors (452603620).

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

296335340 is a wasteful number, since it uses less digits than its factorization.

296335340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 35.

The square root of 296335340 is about 17214.3933962251. The cubic root of 296335340 is about 666.6959481583.

The spelling of 296335340 in words is "two hundred ninety-six million, three hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 10427 14210 20854 28420 41708 52135 72989 104270 145978 208540 291956 302383 364945 510923 604766 729890 1021846 1209532 1459780 1511915 2043692 2116681 2554615 3023830 4233362 5109230 6047660 8466724 10218460 10583405 14816767 21166810 29633534 42333620 59267068 74083835 148167670 296335340