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35234028 = 223643281
BaseRepresentation
bin1000011001101…
…0000011101100
32110022002000000
42012122003230
533004442103
63255104300
7605325054
oct206320354
973262000
1035234028
1118985935
12b972090
1373b844b
144972564
15315eaa3
hex219a0ec

35234028 has 84 divisors (see below), whose sum is σ = 94933608. Its totient is φ = 11430720.

The previous prime is 35234009. The next prime is 35234053. The reversal of 35234028 is 82043253.

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 = 35233992 and 35234010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125248 + ... + 125528.

It is an arithmetic number, because the mean of its divisors is an integer number (1130162).

Almost surely, 235234028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35234028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47466804).

35234028 is an abundant number, since it is smaller than the sum of its proper divisors (59699580).

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

35234028 is a wasteful number, since it uses less digits than its factorization.

35234028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 35234028 is about 5935.8258060694. The cubic root of 35234028 is about 327.8340797749.

The spelling of 35234028 in words is "thirty-five million, two hundred thirty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 281 324 387 486 516 562 729 774 843 972 1124 1161 1458 1548 1686 2322 2529 2916 3372 3483 4644 5058 6966 7587 10116 10449 12083 13932 15174 20898 22761 24166 30348 31347 36249 41796 45522 48332 62694 68283 72498 91044 108747 125388 136566 144996 204849 217494 273132 326241 409698 434988 652482 819396 978723 1304964 1957446 2936169 3914892 5872338 8808507 11744676 17617014 35234028