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2705252034 = 2319436183109
BaseRepresentation
bin1010000100111110…
…1101111011000010
320222112102001010210
42201033231323002
521020021031114
61124234534550
7124016156112
oct24117557302
96875361123
102705252034
111169053991
12635b97456
13341605164
141b93dd042
1510c771259
hexa13edec2

2705252034 has 128 divisors (see below), whose sum is σ = 6049612800. Its totient is φ = 803416320.

The previous prime is 2705252021. The next prime is 2705252087. The reversal of 2705252034 is 4302525072.

It is a super-2 number, since 2×27052520342 = 14636777134922274312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2705251992 and 2705252010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24818772 + ... + 24818880.

It is an arithmetic number, because the mean of its divisors is an integer number (47262600).

Almost surely, 22705252034 is an apocalyptic number.

2705252034 is an abundant number, since it is smaller than the sum of its proper divisors (3344360766).

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

2705252034 is a wasteful number, since it uses less digits than its factorization.

2705252034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 2705252034 is about 52012.0373952030. The cubic root of 2705252034 is about 1393.3789461169.

The spelling of 2705252034 in words is "two billion, seven hundred five million, two hundred fifty-two thousand, thirty-four".

Divisors: 1 2 3 6 19 38 43 57 61 83 86 109 114 122 129 166 183 218 249 258 327 366 498 654 817 1159 1577 1634 2071 2318 2451 2623 3154 3477 3569 4142 4687 4731 4902 5063 5246 6213 6649 6954 7138 7869 9047 9374 9462 10126 10707 12426 13298 14061 15189 15738 18094 19947 21414 27141 28122 30378 39894 49837 54282 67811 89053 96197 99674 126331 135622 149511 171893 178106 192394 203433 217709 252662 267159 285907 288591 299022 343786 378993 389021 406866 435418 515679 534318 551867 571814 577182 653127 757986 778042 857721 1031358 1103734 1167063 1306254 1655601 1715442 2334126 3311202 4136471 5432233 7391399 8272942 10485473 10864466 12409413 14782798 16296699 20970946 22174197 23730281 24818826 31456419 32593398 44348394 47460562 62912838 71190843 142381686 450875339 901750678 1352626017 2705252034