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234052140 = 223572324229
BaseRepresentation
bin11011111001101…
…01101000101100
3121022102002011210
431330311220230
5434404132030
635120314420
75541260520
oct1574655054
9538362153
10234052140
11110130923
1266472a10
133964a7ba
1423127d80
1515833bb0
hexdf35a2c

234052140 has 96 divisors (see below), whose sum is σ = 781562880. Its totient is φ = 51169536.

The previous prime is 234052123. The next prime is 234052157. The reversal of 234052140 is 41250432.

234052140 = T85 + T86 + ... + T1119.

234052140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234052123) and next prime (234052157).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455 + ... + 21774.

It is an arithmetic number, because the mean of its divisors is an integer number (8141280).

Almost surely, 2234052140 is an apocalyptic number.

234052140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234052140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390781440).

234052140 is an abundant number, since it is smaller than the sum of its proper divisors (547510740).

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

234052140 is a wasteful number, since it uses less digits than its factorization.

234052140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24271 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 234052140 is about 15298.7626950679. The cubic root of 234052140 is about 616.2697804929.

The spelling of 234052140 in words is "two hundred thirty-four million, fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 24229 48458 72687 96916 121145 145374 169603 242290 290748 339206 363435 484580 508809 557267 678412 726870 848015 1017618 1114534 1453740 1671801 1696030 2035236 2229068 2544045 2786335 3343602 3392060 3900869 5088090 5572670 6687204 7801738 8359005 10176180 11145340 11702607 15603476 16718010 19504345 23405214 33436020 39008690 46810428 58513035 78017380 117026070 234052140