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2303675640 = 233457101573
BaseRepresentation
bin1000100101001111…
…0100110011111000
312221112202211220000
42021103310303320
514204220110030
61020331433000
7111041630340
oct21123646370
95845684800
102303675640
11a82401672
125435b5760
132a93611a6
1417bd47d20
15d739a860
hex894f4cf8

2303675640 has 160 divisors (see below), whose sum is σ = 8849126880. Its totient is φ = 526549248.

The previous prime is 2303675617. The next prime is 2303675657. The reversal of 2303675640 is 465763032.

2303675640 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 6 + 7 + 5 + 640 = 666.

2303675640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2303675595 and 2303675604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28107 + ... + 73466.

It is an arithmetic number, because the mean of its divisors is an integer number (55307043).

Almost surely, 22303675640 is an apocalyptic number.

2303675640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2303675640 is an abundant number, since it is smaller than the sum of its proper divisors (6545451240).

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

2303675640 is a wasteful number, since it uses less digits than its factorization.

2303675640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101603 (or 101590 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2303675640 is about 47996.6211310755. The cubic root of 2303675640 is about 1320.7089167230.

The spelling of 2303675640 in words is "two billion, three hundred three million, six hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 101573 203146 304719 406292 507865 609438 711011 812584 914157 1015730 1218876 1422022 1523595 1828314 2031460 2133033 2437752 2742471 2844044 3047190 3555055 3656628 4062920 4266066 4570785 5484942 5688088 6094380 6399099 7110110 7313256 8227413 8532132 9141570 10665165 10969884 12188760 12798198 13712355 14220220 16454826 17064264 18283140 19197297 21330330 21939768 25596396 27424710 28440440 31995495 32909652 36566280 38394594 41137065 42660660 51192792 54849420 57591891 63990990 65819304 76789188 82274130 85321320 95986485 109698840 115183782 127981980 153578376 164548260 191972970 230367564 255963960 287959455 329096520 383945940 460735128 575918910 767891880 1151837820 2303675640