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114341240 = 235131971163
BaseRepresentation
bin1101101000010…
…11010101111000
321222011010200202
412310023111320
5213232404430
615202421332
72555612246
oct664132570
9258133622
10114341240
11595a72a2
1232361848
131a8c5350
1411285796
15a088d45
hex6d0b578

114341240 has 128 divisors (see below), whose sum is σ = 297561600. Its totient is φ = 39191040.

The previous prime is 114341239. The next prime is 114341263. The reversal of 114341240 is 42143411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 701399 + ... + 701561.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2114341240 is an apocalyptic number.

114341240 is a gapful number since it is divisible by the number (10) 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 114341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

114341240 is an abundant number, since it is smaller than the sum of its proper divisors (183220360).

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

114341240 is a wasteful number, since it uses less digits than its factorization.

114341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114341240 is about 10693.0463386259. The cubic root of 114341240 is about 485.3640799028.

Adding to 114341240 its reverse (42143411), we get a palindrome (156484651).

The spelling of 114341240 in words is "one hundred fourteen million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 71 76 95 104 130 142 152 163 190 247 260 284 326 355 380 494 520 568 652 710 760 815 923 988 1235 1304 1349 1420 1630 1846 1976 2119 2470 2698 2840 3097 3260 3692 4238 4615 4940 5396 6194 6520 6745 7384 8476 9230 9880 10595 10792 11573 12388 13490 15485 16952 17537 18460 21190 23146 24776 26980 30970 35074 36920 40261 42380 46292 53960 57865 61940 70148 80522 84760 87685 92584 115730 123880 140296 150449 161044 175370 201305 219887 231460 300898 322088 350740 402610 439774 462920 601796 701480 752245 805220 879548 1099435 1203592 1504490 1610440 1759096 2198870 2858531 3008980 4397740 5717062 6017960 8795480 11434124 14292655 22868248 28585310 57170620 114341240