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2034120030 = 235296138329
BaseRepresentation
bin111100100111110…
…0011010101011110
312020202120000002220
41321033203111132
513131213320110
6533502130210
7101256510045
oct17117432536
95222500086
102034120030
11954231538
12489280966
13265562727
1415421b55c
15bd8a2370
hex793e355e

2034120030 has 64 divisors (see below), whose sum is σ = 5133153600. Its totient is φ = 515128320.

The previous prime is 2034120017. The next prime is 2034120071. The reversal of 2034120030 is 300214302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 2034119991 and 2034120009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33906 + ... + 72234.

It is an arithmetic number, because the mean of its divisors is an integer number (80205525).

Almost surely, 22034120030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566576800).

2034120030 is an abundant number, since it is smaller than the sum of its proper divisors (3099033570).

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

2034120030 is a wasteful number, since it uses less digits than its factorization.

2034120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38429.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2034120030 is about 45101.2198282929. The cubic root of 2034120030 is about 1267.0454454306.

Adding to 2034120030 its reverse (300214302), we get a palindrome (2334334332).

The spelling of 2034120030 in words is "two billion, thirty-four million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 61 87 122 145 174 183 290 305 366 435 610 870 915 1769 1830 3538 5307 8845 10614 17690 26535 38329 53070 76658 114987 191645 229974 383290 574935 1111541 1149870 2223082 2338069 3334623 4676138 5557705 6669246 7014207 11115410 11690345 14028414 16673115 23380690 33346230 35071035 67804001 70142070 135608002 203412003 339020005 406824006 678040010 1017060015 2034120030