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34252003440 = 243455285803
BaseRepresentation
bin11111111001100101…
…000001100001110000
310021102002012001120000
4133321211001201300
51030122003102230
623422443150000
72321540140224
oct377145014160
9107362161500
1034252003440
11135873aa166
12677ab15300
1332cb27b075
14192d03a784
15d5707bb60
hex7f9941870

34252003440 has 100 divisors (see below), whose sum is σ = 118962304824. Its totient is φ = 9133865856.

The previous prime is 34252003421. The next prime is 34252003453. The reversal of 34252003440 is 4430025243.

34252003440 is a `hidden beast` number, since 3 + 425 + 200 + 34 + 4 + 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 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 19 ways as a sum of consecutive naturals, for example, 2636422 + ... + 2649381.

Almost surely, 234252003440 is an apocalyptic number.

34252003440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34252003440 is an abundant number, since it is smaller than the sum of its proper divisors (84710301384).

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

34252003440 is a wasteful number, since it uses less digits than its factorization.

34252003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285828 (or 5285813 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34252003440 its reverse (4430025243), we get a palindrome (38682028683).

The spelling of 34252003440 in words is "thirty-four billion, two hundred fifty-two million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 5285803 10571606 15857409 21143212 26429015 31714818 42286424 47572227 52858030 63429636 79287045 84572848 95144454 105716060 126859272 142716681 158574090 190288908 211432120 237861135 253718544 285433362 317148180 380577816 422864240 428150043 475722270 570866724 634296360 713583405 761155632 856300086 951444540 1141733448 1268592720 1427166810 1712600172 1902889080 2140750215 2283466896 2854333620 3425200344 3805778160 4281500430 5708667240 6850400688 8563000860 11417334480 17126001720 34252003440