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2034319938 = 237433533191
BaseRepresentation
bin111100101000001…
…0100001001000010
312020202221011022220
41321100110021002
513131241214223
6533510311510
7101261301630
oct17120241102
95222834286
102034319938
11954358752
12489358596
13265602711
14154270350
15bd8e16e3
hex79414242

2034319938 has 64 divisors (see below), whose sum is σ = 4772984832. Its totient is φ = 565931520.

The previous prime is 2034319907. The next prime is 2034319951. The reversal of 2034319938 is 8399134302.

It is a super-2 number, since 2×20343199382 = 8276915220288647688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2034319938.

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, 635923 + ... + 639113.

It is an arithmetic number, because the mean of its divisors is an integer number (74577888).

Almost surely, 22034319938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034319938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386492416).

2034319938 is an abundant number, since it is smaller than the sum of its proper divisors (2738664894).

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

2034319938 is a wasteful number, since it uses less digits than its factorization.

2034319938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599.

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2034319938 is about 45103.4359888468. The cubic root of 2034319938 is about 1267.0869513759.

The spelling of 2034319938 in words is "two billion, thirty-four million, three hundred nineteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 353 602 706 903 1059 1806 2118 2471 3191 4942 6382 7413 9573 14826 15179 19146 22337 30358 44674 45537 67011 91074 106253 134022 137213 212506 274426 318759 411639 637518 823278 960491 1126423 1920982 2252846 2881473 3379269 5762946 6758538 7884961 15769922 23654883 47309766 48436189 96872378 145308567 290617134 339053323 678106646 1017159969 2034319938