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2386094940 = 22325431492069
BaseRepresentation
bin1000111000111000…
…1110101101011100
320011021212011220200
42032032032231130
514341320014230
61032434143500
7113062321005
oct21616165534
96137764820
102386094940
111014985499
12567121b90
132c045a7c8
14188c801ac
15de72b160
hex8e38eb5c

2386094940 has 144 divisors (see below), whose sum is σ = 7459452000. Its totient is φ = 617025024.

The previous prime is 2386094899. The next prime is 2386094947. The reversal of 2386094940 is 494906832.

2386094940 is a `hidden beast` number, since 2 + 38 + 609 + 4 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2386094947) 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, 1152226 + ... + 1154294.

It is an arithmetic number, because the mean of its divisors is an integer number (51801750).

Almost surely, 22386094940 is an apocalyptic number.

2386094940 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 2386094940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729726000).

2386094940 is an abundant number, since it is smaller than the sum of its proper divisors (5073357060).

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

2386094940 is a wasteful number, since it uses less digits than its factorization.

2386094940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2386094940 is about 48847.6707735384. The cubic root of 2386094940 is about 1336.2751944549.

The spelling of 2386094940 in words is "two billion, three hundred eighty-six million, ninety-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 149 172 180 215 258 298 387 430 447 516 596 645 745 774 860 894 1290 1341 1490 1548 1788 1935 2069 2235 2580 2682 2980 3870 4138 4470 5364 6207 6407 6705 7740 8276 8940 10345 12414 12814 13410 18621 19221 20690 24828 25628 26820 31035 32035 37242 38442 41380 57663 62070 64070 74484 76884 88967 93105 96105 115326 124140 128140 177934 186210 192210 230652 266901 288315 308281 355868 372420 384420 444835 533802 576630 616562 800703 889670 924843 1067604 1153260 1233124 1334505 1541405 1601406 1779340 1849686 2669010 2774529 3082810 3202812 3699372 4003515 4624215 5338020 5549058 6165620 8007030 9248430 11098116 13256083 13872645 16014060 18496860 26512166 27745290 39768249 53024332 55490580 66280415 79536498 119304747 132560830 159072996 198841245 238609494 265121660 397682490 477218988 596523735 795364980 1193047470 2386094940