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34034000370 = 2354161944701
BaseRepresentation
bin11111101100100101…
…011010000111110010
310020211212222100120020
4133230211122013302
51024200201002440
623345054424310
72313252141606
oct375445320762
9106755870506
1034034000370
1113485340237
126719b02096
13329505c576
14190c0cd506
15d42d683d0
hex7ec95a1f2

34034000370 has 64 divisors (see below), whose sum is σ = 83810885760. Its totient is φ = 8839872000.

The previous prime is 34034000333. The next prime is 34034000387. The reversal of 34034000370 is 7300043043.

It is a self number, because there is not a number n which added to its sum of digits gives 34034000370.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739020 + ... + 783720.

It is an arithmetic number, because the mean of its divisors is an integer number (1309545090).

Almost surely, 234034000370 is an apocalyptic number.

34034000370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34034000370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41905442880).

34034000370 is an abundant number, since it is smaller than the sum of its proper divisors (49776885390).

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

34034000370 is a wasteful number, since it uses less digits than its factorization.

34034000370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45371.

The product of its (nonzero) digits is 3024, while the sum is 24.

The spelling of 34034000370 in words is "thirty-four billion, thirty-four million, three hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 619 1230 1238 1857 3095 3714 6190 9285 18570 25379 44701 50758 76137 89402 126895 134103 152274 223505 253790 268206 380685 447010 670515 761370 1341030 1832741 3665482 5498223 9163705 10996446 18327410 27491115 27669919 54982230 55339838 83009757 138349595 166019514 276699190 415048785 830097570 1134466679 2268933358 3403400037 5672333395 6806800074 11344666790 17017000185 34034000370