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34310514000 = 243537816917
BaseRepresentation
bin11111111101000100…
…001110010101010000
310021120011021200221210
4133331010032111100
51030231442422000
623432333220120
72323150362030
oct377504162520
9107504250853
1034310514000
1113607432aa4
126796631640
13330a4260b9
141936b0b8c0
15d5c288350
hex7fd10e550

34310514000 has 160 divisors (see below), whose sum is σ = 126419694336. Its totient is φ = 7842393600.

The previous prime is 34310513999. The next prime is 34310514047. The reversal of 34310514000 is 41501343.

It is a super-2 number, since 2×343105140002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366459 + ... + 450458.

Almost surely, 234310514000 is an apocalyptic number.

34310514000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34310514000 is an abundant number, since it is smaller than the sum of its proper divisors (92109180336).

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

34310514000 is a wasteful number, since it uses less digits than its factorization.

34310514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816950 (or 816934 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 34310514000 in words is "thirty-four billion, three hundred ten million, five hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 816917 1633834 2450751 3267668 4084585 4901502 5718419 6535336 8169170 9803004 11436838 12253755 13070672 16338340 17155257 19606008 20422925 22873676 24507510 28592095 32676680 34310514 39212016 40845850 45747352 49015020 57184190 61268775 65353360 68621028 81691700 85776285 91494704 98030040 102114625 114368380 122537550 137242056 142960475 163383400 171552570 196060080 204229250 228736760 245075100 274484112 285920950 306343875 326766800 343105140 408458500 428881425 457473520 490150200 571841900 612687750 686210280 714802375 816917000 857762850 980300400 1143683800 1225375500 1372420560 1429604750 1633834000 1715525700 2144407125 2287367600 2450751000 2859209500 3431051400 4288814250 4901502000 5718419000 6862102800 8577628500 11436838000 17155257000 34310514000