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641433240 = 233257254537
BaseRepresentation
bin100110001110110…
…111111010011000
31122200222011222200
4212032313322120
52303201330430
6143352050200
721616043520
oct4616677230
91580864880
10641433240
112aa088318
1215a993960
13a2b748c6
1461290680
153b4a4460
hex263b7e98

641433240 has 96 divisors (see below), whose sum is σ = 2382475680. Its totient is φ = 146612736.

The previous prime is 641433227. The next prime is 641433251. The reversal of 641433240 is 42334146.

641433240 is a `hidden beast` number, since 6 + 414 + 3 + 3 + 240 = 666.

It is a super-2 number, since 2×6414332402 = 822873202753795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 124749 + ... + 129788.

It is an arithmetic number, because the mean of its divisors is an integer number (24817455).

Almost surely, 2641433240 is an apocalyptic number.

641433240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641433240 is an abundant number, since it is smaller than the sum of its proper divisors (1741042440).

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

641433240 is a wasteful number, since it uses less digits than its factorization.

641433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254561 (or 254554 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 641433240 is about 25326.5323327138. The cubic root of 641433240 is about 862.4166926469.

Adding to 641433240 its reverse (42334146), we get a palindrome (683767386).

The spelling of 641433240 in words is "six hundred forty-one million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 254537 509074 763611 1018148 1272685 1527222 1781759 2036296 2290833 2545370 3054444 3563518 3818055 4581666 5090740 5345277 6108888 7127036 7636110 8908795 9163332 10181480 10690554 11454165 14254072 15272220 16035831 17817590 18326664 21381108 22908330 26726385 30544440 32071662 35635180 42762216 45816660 53452770 64143324 71270360 80179155 91633320 106905540 128286648 160358310 213811080 320716620 641433240