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34383498000 = 2435320032861
BaseRepresentation
bin100000000001011010…
…101000101100010000
310021202020121200011220
4200001122220230100
51030404133414000
623443501405040
72325024624255
oct400132505420
9107666550156
1034383498000
1113644651a55
1267b6b69780
13331c59abb7
1419426a942c
15d638a31a0
hex8016a8b10

34383498000 has 160 divisors (see below), whose sum is σ = 110946506112. Its totient is φ = 9161152000.

The previous prime is 34383497977. The next prime is 34383498049. The reversal of 34383498000 is 89438343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12016570 + ... + 12019430.

Almost surely, 234383498000 is an apocalyptic number.

34383498000 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 34383498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473253056).

34383498000 is an abundant number, since it is smaller than the sum of its proper divisors (76563008112).

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

34383498000 is a wasteful number, since it uses less digits than its factorization.

34383498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 34383498000 in words is "thirty-four billion, three hundred eighty-three million, four hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2003 2861 3000 4006 5722 6000 6009 8012 8583 10015 11444 12018 14305 16024 17166 20030 22888 24036 28610 30045 32048 34332 40060 42915 45776 48072 50075 57220 60090 68664 71525 80120 85830 96144 100150 114440 120180 137328 143050 150225 160240 171660 200300 214575 228880 240360 250375 286100 300450 343320 357625 400600 429150 480720 500750 572200 600900 686640 715250 751125 801200 858300 1001500 1072875 1144400 1201800 1430500 1502250 1716600 2003000 2145750 2403600 2861000 3004500 3433200 4006000 4291500 5722000 5730583 6009000 8583000 11461166 12018000 17166000 17191749 22922332 28652915 34383498 45844664 57305830 68766996 85958745 91689328 114611660 137533992 143264575 171917490 229223320 275067984 286529150 343834980 429793725 458446640 573058300 687669960 716322875 859587450 1146116600 1375339920 1432645750 1719174900 2148968625 2292233200 2865291500 3438349800 4297937250 5730583000 6876699600 8595874500 11461166000 17191749000 34383498000