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34275000 = 23355457
BaseRepresentation
bin1000001010111…
…1111010111000
32101111100110110
42002233322320
532233300000
63222344320
7564222054
oct202577270
971440413
1034275000
1118390351
12b58b0a0
137140a86
1447a2c64
153020850
hex20afeb8

34275000 has 96 divisors (see below), whose sum is σ = 107336880. Its totient is φ = 9120000.

The previous prime is 34274963. The next prime is 34275011. The reversal of 34275000 is 57243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74772 + ... + 75228.

Almost surely, 234275000 is an apocalyptic number.

34275000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53668440).

34275000 is an abundant number, since it is smaller than the sum of its proper divisors (73061880).

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

34275000 is an equidigital number, since it uses as much as digits as its factorization.

34275000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 34275000 is about 5854.4854598846. The cubic root of 34275000 is about 324.8322605810.

The spelling of 34275000 in words is "thirty-four million, two hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 457 500 600 625 750 914 1000 1250 1371 1500 1828 1875 2285 2500 2742 3000 3125 3656 3750 4570 5000 5484 6250 6855 7500 9140 9375 10968 11425 12500 13710 15000 18280 18750 22850 25000 27420 34275 37500 45700 54840 57125 68550 75000 91400 114250 137100 171375 228500 274200 285625 342750 457000 571250 685500 856875 1142500 1371000 1428125 1713750 2285000 2856250 3427500 4284375 5712500 6855000 8568750 11425000 17137500 34275000