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34022070000 = 243254378023
BaseRepresentation
bin11111101011110111…
…111001011011110000
310020211001112020011200
4133223313321123300
51024134122220000
623343551011200
72313045552312
oct375367713360
9106731466150
1034022070000
1113479631826
126715b09b00
133292743189
14190a6a57b2
15d41cad500
hex7ebdf96f0

34022070000 has 150 divisors (see below), whose sum is σ = 118980407832. Its totient is φ = 9072528000.

The previous prime is 34022069993. The next prime is 34022070001. The reversal of 34022070000 is 7022043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34022070001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 99012 + ... + 279011.

Almost surely, 234022070000 is an apocalyptic number.

34022070000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34022070000 is an abundant number, since it is smaller than the sum of its proper divisors (84958337832).

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

34022070000 is a wasteful number, since it uses less digits than its factorization.

34022070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378057 (or 378033 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 34022070000 its reverse (7022043), we get a palindrome (34029092043).

The spelling of 34022070000 in words is "thirty-four billion, twenty-two million, seventy thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 378023 756046 1134069 1512092 1890115 2268138 3024184 3402207 3780230 4536276 5670345 6048368 6804414 7560460 9072552 9450575 11340690 13608828 15120920 17011035 18145104 18901150 22681380 27217656 28351725 30241840 34022070 37802300 45362760 47252875 54435312 56703450 68044140 75604600 85055175 90725520 94505750 113406900 136088280 141758625 151209200 170110350 189011500 226813800 236264375 272176560 283517250 340220700 378023000 425275875 453627600 472528750 567034500 680441400 708793125 756046000 850551750 945057500 1134069000 1360882800 1417586250 1701103500 1890115000 2126379375 2268138000 2835172500 3402207000 3780230000 4252758750 5670345000 6804414000 8505517500 11340690000 17011035000 34022070000