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234456240 = 24358231187
BaseRepresentation
bin11011111100110…
…00010010110000
3121100011121111110
431332120102300
5440010044430
635133113320
75544562614
oct1576302260
9540147443
10234456240
11110387497
1266628840
133975c705
14231d1344
15158b37b0
hexdf984b0

234456240 has 80 divisors (see below), whose sum is σ = 728310528. Its totient is φ = 62393088.

The previous prime is 234456223. The next prime is 234456281. The reversal of 234456240 is 42654432.

234456240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234456198 and 234456207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196927 + ... + 198113.

Almost surely, 2234456240 is an apocalyptic number.

234456240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234456240 is an abundant number, since it is smaller than the sum of its proper divisors (493854288).

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

234456240 is a wasteful number, since it uses less digits than its factorization.

234456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 234456240 is about 15311.9639498008. The cubic root of 234456240 is about 616.6242477112.

The spelling of 234456240 in words is "two hundred thirty-four million, four hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 823 1187 1646 2374 2469 3292 3561 4115 4748 4938 5935 6584 7122 8230 9496 9876 11870 12345 13168 14244 16460 17805 18992 19752 23740 24690 28488 32920 35610 39504 47480 49380 56976 65840 71220 94960 98760 142440 197520 284880 976901 1953802 2930703 3907604 4884505 5861406 7815208 9769010 11722812 14653515 15630416 19538020 23445624 29307030 39076040 46891248 58614060 78152080 117228120 234456240