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234979248 = 2437699343
BaseRepresentation
bin11100000000101…
…11111110110000
3121101011011221010
432000113332300
5440123313443
635152230520
75552201460
oct1600277660
9541134833
10234979248
11110704429
126683b440
13398b379a
14232c9ba0
1515968733
hexe017fb0

234979248 has 40 divisors (see below), whose sum is σ = 693749248. Its totient is φ = 67136832.

The previous prime is 234979243. The next prime is 234979279. The reversal of 234979248 is 842979432.

234979248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 234979197 and 234979206.

It is not an unprimeable number, because it can be changed into a prime (234979243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349336 + ... + 350007.

Almost surely, 2234979248 is an apocalyptic number.

234979248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

234979248 is an abundant number, since it is smaller than the sum of its proper divisors (458770000).

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

234979248 is a wasteful number, since it uses less digits than its factorization.

234979248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699361 (or 699355 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 234979248 is about 15329.0328462040. The cubic root of 234979248 is about 617.0824141029.

The spelling of 234979248 in words is "two hundred thirty-four million, nine hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 699343 1398686 2098029 2797372 4196058 4895401 5594744 8392116 9790802 11189488 14686203 16784232 19581604 29372406 33568464 39163208 58744812 78326416 117489624 234979248