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34000342000 = 245391118661
BaseRepresentation
bin11111101010100101…
…000000101111110000
310020202112122022221221
4133222211000233300
51024113041421000
623341453154424
72312363065342
oct375245005760
9106675568857
1034000342000
11134683411a9
12670a78ba14
13328b0a6381
14190784b292
15d3ee1a61a
hex7ea940bf0

34000342000 has 80 divisors (see below), whose sum is σ = 82307481984. Its totient is φ = 13584480000.

The previous prime is 34000341983. The next prime is 34000342049. The reversal of 34000342000 is 24300043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×340003420002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812670 + ... + 1831330.

Almost surely, 234000342000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41153740992).

34000342000 is an abundant number, since it is smaller than the sum of its proper divisors (48307139984).

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

34000342000 is a wasteful number, since it uses less digits than its factorization.

34000342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19595 (or 19579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 34000342000 its reverse (24300043), we get a palindrome (34024642043).

The spelling of 34000342000 in words is "thirty-four billion, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 911 1000 1822 2000 3644 4555 7288 9110 14576 18220 18661 22775 36440 37322 45550 72880 74644 91100 93305 113875 149288 182200 186610 227750 298576 364400 373220 455500 466525 746440 911000 933050 1492880 1822000 1866100 2332625 3732200 4665250 7464400 9330500 17000171 18661000 34000342 37322000 68000684 85000855 136001368 170001710 272002736 340003420 425004275 680006840 850008550 1360013680 1700017100 2125021375 3400034200 4250042750 6800068400 8500085500 17000171000 34000342000