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234301248 = 263445197
BaseRepresentation
bin11011111011100…
…10011101000000
3121022212201220000
431331302131000
5434440114443
635125520000
75543346006
oct1575623500
9538781800
10234301248
11110290aa5
1266573000
1339706cbc
1423190a76
15158828d3
hexdf72740

234301248 has 70 divisors (see below), whose sum is σ = 694557666. Its totient is φ = 78098688.

The previous prime is 234301247. The next prime is 234301267. The reversal of 234301248 is 842103432.

It can be written as a sum of positive squares in only one way, i.e., 230796864 + 3504384 = 15192^2 + 1872^2 .

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 (234301247) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17415 + ... + 27782.

Almost surely, 2234301248 is an apocalyptic number.

It is an amenable number.

234301248 is an abundant number, since it is smaller than the sum of its proper divisors (460256418).

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

234301248 is an equidigital number, since it uses as much as digits as its factorization.

234301248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45221 (or 45202 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 234301248 is about 15306.9019726397. The cubic root of 234301248 is about 616.4883404831.

The spelling of 234301248 in words is "two hundred thirty-four million, three hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 45197 90394 135591 180788 271182 361576 406773 542364 723152 813546 1084728 1220319 1446304 1627092 2169456 2440638 2892608 3254184 3660957 4338912 4881276 6508368 7321914 8677824 9762552 13016736 14643828 19525104 26033472 29287656 39050208 58575312 78100416 117150624 234301248