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34268427000 = 233453423067
BaseRepresentation
bin11111111010100011…
…101011001011111000
310021110020002110110000
4133322203223023320
51030140204131000
623424231153000
72322126552303
oct377243531370
9107406073400
1034268427000
11135956a7455
126784515760
1333017ab652
1419312b3b3a
15d58723000
hex7fa8eb2f8

34268427000 has 160 divisors (see below), whose sum is σ = 119787473520. Its totient is φ = 9138225600.

The previous prime is 34268426987. The next prime is 34268427091. The reversal of 34268427000 is 72486243.

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

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, 130534 + ... + 292533.

Almost surely, 234268427000 is an apocalyptic number.

34268427000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34268427000 is an abundant number, since it is smaller than the sum of its proper divisors (85519046520).

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

34268427000 is a wasteful number, since it uses less digits than its factorization.

34268427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423100 (or 423077 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34268427000 in words is "thirty-four billion, two hundred sixty-eight million, four hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 423067 846134 1269201 1692268 2115335 2538402 3384536 3807603 4230670 5076804 6346005 7615206 8461340 10153608 10576675 11422809 12692010 15230412 16922680 19038015 21153350 22845618 25384020 30460824 31730025 34268427 38076030 42306700 45691236 50768040 52883375 57114045 63460050 68536854 76152060 84613400 91382472 95190075 105766750 114228090 126920100 137073708 152304120 158650125 171342135 190380150 211533500 228456180 253840200 274147416 285570225 317300250 342684270 380760300 423067000 456912360 475950375 571140450 634600500 685368540 761520600 856710675 951900750 1142280900 1269201000 1370737080 1427851125 1713421350 1903801500 2284561800 2855702250 3426842700 3807603000 4283553375 5711404500 6853685400 8567106750 11422809000 17134213500 34268427000