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253412034300 = 223352372536657
BaseRepresentation
bin1110110000000010001…
…0001100011011111100
3220020002201110011021000
43230000202030123330
513122441440044200
6312225455210300
724210533515425
oct3540042143374
9806081404230
10253412034300
119852053a107
1241143216990
131ab86c394b9
14c39da3264c
1568d264c300
hex3b0088c6fc

253412034300 has 144 divisors (see below), whose sum is σ = 836691274720. Its totient is φ = 65750123520.

The previous prime is 253412034191. The next prime is 253412034307. The reversal of 253412034300 is 3430214352.

253412034300 is a `hidden beast` number, since 2 + 534 + 120 + 3 + 4 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253412034307) 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, 1168429 + ... + 1368228.

Almost surely, 2253412034300 is an apocalyptic number.

253412034300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253412034300 is an abundant number, since it is smaller than the sum of its proper divisors (583279240420).

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

253412034300 is a wasteful number, since it uses less digits than its factorization.

253412034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536717 (or 2536704 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 253412034300 its reverse (3430214352), we get a palindrome (256842248652).

The spelling of 253412034300 in words is "two hundred fifty-three billion, four hundred twelve million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 999 1110 1332 1350 1665 1850 1998 2220 2700 2775 3330 3700 3996 4995 5550 6660 8325 9990 11100 16650 19980 24975 33300 49950 99900 2536657 5073314 7609971 10146628 12683285 15219942 22829913 25366570 30439884 38049855 45659826 50733140 63416425 68489739 76099710 91319652 93856309 114149565 126832850 136979478 152199420 187712618 190249275 228299130 253665700 273958956 281568927 342448695 375425236 380498550 456598260 469281545 563137854 570747825 684897390 760997100 844706781 938563090 1126275708 1141495650 1369794780 1407844635 1689413562 1712243475 1877126180 2282991300 2346407725 2534120343 2815689270 3378827124 3424486950 4223533905 4692815450 5068240686 5631378540 6848973900 7039223175 8447067810 9385630900 10136481372 12670601715 14078446350 16894135620 21117669525 25341203430 28156892700 42235339050 50682406860 63353008575 84470678100 126706017150 253412034300