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296380224 = 26327210501
BaseRepresentation
bin10001101010100…
…110011101000000
3202122200200020100
4101222212131000
51101333131344
645224242400
710226122200
oct2152463500
9678620210
10296380224
11142331938
1283310400
134953131a
142b510400
151b046569
hex11aa6740

296380224 has 126 divisors (see below), whose sum is σ = 988311714. Its totient is φ = 84672000.

The previous prime is 296380213. The next prime is 296380241. The reversal of 296380224 is 422083692.

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 67765824 = 15120^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22974 + ... + 33474.

Almost surely, 2296380224 is an apocalyptic number.

296380224 is a gapful number since it is divisible by the number (24) 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 296380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494155857).

296380224 is an abundant number, since it is smaller than the sum of its proper divisors (691931490).

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

296380224 is a wasteful number, since it uses less digits than its factorization.

296380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10533 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 296380224 is about 17215.6970233563. The cubic root of 296380224 is about 666.7296065021.

The spelling of 296380224 in words is "two hundred ninety-six million, three hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 10501 14112 21002 28224 31503 42004 63006 73507 84008 94509 126012 147014 168016 189018 220521 252024 294028 336032 378036 441042 504048 514549 588056 661563 672064 756072 882084 1008096 1029098 1176112 1323126 1512144 1543647 1764168 2016192 2058196 2352224 2646252 3024288 3087294 3528336 4116392 4630941 4704448 5292504 6048576 6174588 7056672 8232784 9261882 10585008 12349176 14113344 16465568 18523764 21170016 24698352 32931136 37047528 42340032 49396704 74095056 98793408 148190112 296380224