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2034510534 = 234711315877
BaseRepresentation
bin111100101000100…
…0010101011000110
312020210021211210000
41321101002223012
513131313314114
6533514342130
7101263024410
oct17121025306
95223254700
102034510534
11954478971
1248942a946
1326566b3b4
141542bd9b0
15bd92ce09
hex79442ac6

2034510534 has 80 divisors (see below), whose sum is σ = 5256507168. Its totient is φ = 576108288.

The previous prime is 2034510521. The next prime is 2034510553. The reversal of 2034510534 is 4350154302.

2034510534 is a `hidden beast` number, since 203 + 451 + 0 + 5 + 3 + 4 = 666.

It is a super-2 number, since 2×20345105342 = 8278466225913930312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2034510498 and 2034510507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120204 + ... + 136080.

Almost surely, 22034510534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034510534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628253584).

2034510534 is an abundant number, since it is smaller than the sum of its proper divisors (3221996634).

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

2034510534 is a wasteful number, since it uses less digits than its factorization.

2034510534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16011 (or 16002 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2034510534 is about 45105.5488160825. The cubic root of 2034510534 is about 1267.1265213829.

Adding to 2034510534 its reverse (4350154302), we get a palindrome (6384664836).

The spelling of 2034510534 in words is "two billion, thirty-four million, five hundred ten thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 339 378 567 678 791 1017 1134 1582 2034 2373 3051 4746 6102 7119 9153 14238 15877 18306 21357 31754 42714 47631 64071 95262 111139 128142 142893 222278 285786 333417 428679 666834 857358 1000251 1286037 1794101 2000502 2572074 3000753 3588202 5382303 6001506 9002259 10764606 12558707 16146909 18004518 25117414 32293818 37676121 48440727 75352242 96881454 113028363 145322181 226056726 290644362 339085089 678170178 1017255267 2034510534