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234780240 = 24359471033
BaseRepresentation
bin11011111111001…
…11011001010000
3121100210001221110
431333213121100
5440100431430
635144053320
75550412332
oct1577473120
9540701843
10234780240
11110588962
1266764240
1339844026
1423277452
15159297b0
hexdfe7650

234780240 has 80 divisors (see below), whose sum is σ = 729292608. Its totient is φ = 62481408.

The previous prime is 234780239. The next prime is 234780253. The reversal of 234780240 is 42087432.

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

It is a super-2 number, since 2×2347802402 = 110243522188915200, which contains 22 as substring.

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 = 234780198 and 234780207.

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 15 ways as a sum of consecutive naturals, for example, 226764 + ... + 227796.

Almost surely, 2234780240 is an apocalyptic number.

234780240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234780240 is an abundant number, since it is smaller than the sum of its proper divisors (494512368).

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

234780240 is a wasteful number, since it uses less digits than its factorization.

234780240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 234780240 is about 15322.5402593695. The cubic root of 234780240 is about 616.9081589679.

The spelling of 234780240 in words is "two hundred thirty-four million, seven hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 947 1033 1894 2066 2841 3099 3788 4132 4735 5165 5682 6198 7576 8264 9470 10330 11364 12396 14205 15152 15495 16528 18940 20660 22728 24792 28410 30990 37880 41320 45456 49584 56820 61980 75760 82640 113640 123960 227280 247920 978251 1956502 2934753 3913004 4891255 5869506 7826008 9782510 11739012 14673765 15652016 19565020 23478024 29347530 39130040 46956048 58695060 78260080 117390120 234780240