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234186240 = 293530493
BaseRepresentation
bin11011111010101…
…10011000000000
3121022122220010110
431331112120000
5434422424430
635123231320
75542356501
oct1575263000
9538586113
10234186240
11110212652
1266518540
1339696852
1423160ba8
151585d7b0
hexdf56600

234186240 has 80 divisors (see below), whose sum is σ = 748688688. Its totient is φ = 62447616.

The previous prime is 234186233. The next prime is 234186241. The reversal of 234186240 is 42681432.

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 = 234186198 and 234186207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234186241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7567 + ... + 22926.

Almost surely, 2234186240 is an apocalyptic number.

234186240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234186240 is an abundant number, since it is smaller than the sum of its proper divisors (514502448).

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

234186240 is an equidigital number, since it uses as much as digits as its factorization.

234186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30519 (or 30503 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 234186240 is about 15303.1447748494. The cubic root of 234186240 is about 616.3874551264.

The spelling of 234186240 in words is "two hundred thirty-four million, one hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 30493 60986 91479 121972 152465 182958 243944 304930 365916 457395 487888 609860 731832 914790 975776 1219720 1463664 1829580 1951552 2439440 2927328 3659160 3903104 4878880 5854656 7318320 7806208 9757760 11709312 14636640 15612416 19515520 23418624 29273280 39031040 46837248 58546560 78062080 117093120 234186240