Search a number
-
+
514505034 = 23417227823
BaseRepresentation
bin11110101010101…
…011100101001010
31022212010120020000
4132222223211022
52023203130114
6123015343430
715515135451
oct3652534512
91285116200
10514505034
1124447427a
12124381b76
1382793364
144c48db98
1530280e09
hex1eaab94a

514505034 has 80 divisors (see below), whose sum is σ = 1227555648. Its totient is φ = 160507008.

The previous prime is 514505029. The next prime is 514505053. The reversal of 514505034 is 430505415.

It is a super-2 number, since 2×5145050342 = 529430860022682312, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 514504989 and 514505007.

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, 624747 + ... + 625569.

Almost surely, 2514505034 is an apocalyptic number.

514505034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 514505034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613777824).

514505034 is an abundant number, since it is smaller than the sum of its proper divisors (713050614).

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

514505034 is a wasteful number, since it uses less digits than its factorization.

514505034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 514505034 is about 22682.7034103080. The cubic root of 514505034 is about 801.3025831536.

The spelling of 514505034 in words is "five hundred fourteen million, five hundred five thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 227 306 454 459 681 823 918 1362 1377 1646 2043 2469 2754 3859 4086 4938 6129 7407 7718 11577 12258 13991 14814 18387 22221 23154 27982 34731 36774 41973 44442 66663 69462 83946 104193 125919 133326 186821 208386 251838 312579 373642 377757 560463 625158 755514 1120926 1133271 1681389 2266542 3175957 3362778 5044167 6351914 9527871 10088334 15132501 19055742 28583613 30265002 57167226 85750839 171501678 257252517 514505034