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102044934 = 2351943257
BaseRepresentation
bin1100001010100…
…01010100000110
321010000102100000
412011101110012
5202110414214
614043102130
72346240045
oct605212406
9233012300
10102044934
1152668962
122a211946
13181ab524
14d7a455c
158e5a809
hex6151506

102044934 has 96 divisors (see below), whose sum is σ = 247927680. Its totient is φ = 31352832.

The previous prime is 102044933. The next prime is 102044947. The reversal of 102044934 is 439440201.

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 = 102044898 and 102044907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102044933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396934 + ... + 397190.

It is an arithmetic number, because the mean of its divisors is an integer number (2582580).

Almost surely, 2102044934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102044934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123963840).

102044934 is an abundant number, since it is smaller than the sum of its proper divisors (145882746).

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

102044934 is a wasteful number, since it uses less digits than its factorization.

102044934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102044934 is about 10101.7292579043. The cubic root of 102044934 is about 467.3014727040.

It can be divided in two parts, 1020 and 44934, that added together give a palindrome (45954).

The spelling of 102044934 in words is "one hundred two million, forty-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 81 86 114 129 162 171 243 257 258 342 387 486 513 514 771 774 817 1026 1161 1539 1542 1634 2313 2322 2451 3078 3483 4617 4626 4883 4902 6939 6966 7353 9234 9766 10449 11051 13878 14649 14706 20817 20898 22059 22102 29298 33153 41634 43947 44118 62451 66177 66306 87894 99459 124902 131841 132354 198531 198918 209969 263682 298377 395523 397062 419938 596754 629907 791046 895131 1186569 1259814 1790262 1889721 2373138 2685393 3779442 5370786 5669163 11338326 17007489 34014978 51022467 102044934