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234000270 = 23257616089
BaseRepresentation
bin11011111001010…
…00111110001110
3121022022110000200
431330220332032
5434401002040
635115234330
75540653350
oct1574507616
9538273020
10234000270
111100a5959
12664489a6
133962ccca
14231130d0
1515823630
hexdf28f8e

234000270 has 96 divisors (see below), whose sum is σ = 706829760. Its totient is φ = 52600320.

The previous prime is 234000251. The next prime is 234000271. The reversal of 234000270 is 72000432.

It is a happy number.

It is a super-2 number, since 2×2340002702 = 109512252720145800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234000271) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35386 + ... + 41474.

It is an arithmetic number, because the mean of its divisors is an integer number (7362810).

Almost surely, 2234000270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234000270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353414880).

234000270 is an abundant number, since it is smaller than the sum of its proper divisors (472829490).

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

234000270 is a wasteful number, since it uses less digits than its factorization.

234000270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 234000270 is about 15297.0673660019. The cubic root of 234000270 is about 616.2242517840.

It can be divided in two parts, 234000 and 270, that added together give a triangular number (234270 = T684).

The spelling of 234000270 in words is "two hundred thirty-four million, two hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 183 210 305 315 366 427 549 610 630 854 915 1098 1281 1830 2135 2562 2745 3843 4270 5490 6089 6405 7686 12178 12810 18267 19215 30445 36534 38430 42623 54801 60890 85246 91335 109602 127869 182670 213115 255738 274005 371429 383607 426230 548010 639345 742858 767214 1114287 1278690 1857145 1918035 2228574 2600003 3342861 3714290 3836070 5200006 5571435 6685722 7800009 11142870 13000015 15600018 16714305 23400027 26000030 33428610 39000045 46800054 78000090 117000135 234000270