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102935034 = 23217437823
BaseRepresentation
bin1100010001010…
…10100111111010
321011200122022200
412020222213322
5202322410114
614114131030
72356635066
oct610524772
9234618280
10102935034
1153116684
122a580a76
1318430707
14d956aa6
159084409
hex622a9fa

102935034 has 48 divisors (see below), whose sum is σ = 241667712. Its totient is φ = 31538304.

The previous prime is 102935033. The next prime is 102935047. The reversal of 102935034 is 430539201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102934989 and 102935007.

It is not an unprimeable number, because it can be changed into a prime (102935033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9247 + ... + 17069.

It is an arithmetic number, because the mean of its divisors is an integer number (5034744).

Almost surely, 2102935034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102935034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120833856).

102935034 is an abundant number, since it is smaller than the sum of its proper divisors (138732678).

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

102935034 is a wasteful number, since it uses less digits than its factorization.

102935034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7891 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 102935034 is about 10145.6904151467. The cubic root of 102935034 is about 468.6562402340.

It can be divided in two parts, 1029 and 35034, that added together give a palindrome (36063).

The spelling of 102935034 in words is "one hundred two million, nine hundred thirty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4386 6579 7823 13158 15646 23469 46938 70407 132991 140814 265982 336389 398973 672778 797946 1009167 1196919 2018334 2393838 3027501 5718613 6055002 11437226 17155839 34311678 51467517 102935034