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34000340070 = 23537277110581
BaseRepresentation
bin11111101010100101…
…000000010001100110
310020202112122020022110
4133222211000101212
51024113041340240
623341453141450
72312363056614
oct375245002146
9106675566273
1034000340070
111346833a804
12670a78a886
13328b0a5528
14190784a6b4
15d3ee19c80
hex7ea940466

34000340070 has 64 divisors (see below), whose sum is σ = 84109553856. Its totient is φ = 8789783040.

The previous prime is 34000340047. The next prime is 34000340071. The reversal of 34000340070 is 7004300043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000340071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252180 + ... + 362760.

It is an arithmetic number, because the mean of its divisors is an integer number (1314211779).

Almost surely, 234000340070 is an apocalyptic number.

34000340070 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 34000340070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054776928).

34000340070 is an abundant number, since it is smaller than the sum of its proper divisors (50109213786).

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

34000340070 is a wasteful number, since it uses less digits than its factorization.

34000340070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110905.

The product of its (nonzero) digits is 1008, while the sum is 21.

The spelling of 34000340070 in words is "thirty-four billion, three hundred forty thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 277 370 554 555 831 1110 1385 1662 2770 4155 8310 10249 20498 30747 51245 61494 102490 110581 153735 221162 307470 331743 552905 663486 1105810 1658715 3317430 4091497 8182994 12274491 20457485 24548982 30630937 40914970 61261874 61372455 91892811 122744910 153154685 183785622 306309370 459464055 918928110 1133344669 2266689338 3400034007 5666723345 6800068014 11333446690 17000170035 34000340070