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34763028 = 223172331239
BaseRepresentation
bin1000010010011…
…1000100010100
32102102010220120
42010213010110
532344404103
63241031540
7601323636
oct204470424
972363816
1034763028
1118693a83
12b7855b0
137281c51
14488ca56
1530ba253
hex2127114

34763028 has 96 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 10053120.

The previous prime is 34763023. The next prime is 34763063. The reversal of 34763028 is 82036743.

It is a self number, because there is not a number n which added to its sum of digits gives 34763028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34763023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145333 + ... + 145571.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 234763028 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 34763028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

34763028 is an abundant number, since it is smaller than the sum of its proper divisors (58134252).

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

34763028 is a wasteful number, since it uses less digits than its factorization.

34763028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 34763028 is about 5896.0179782630. The cubic root of 34763028 is about 326.3667194417.

The spelling of 34763028 in words is "thirty-four million, seven hundred sixty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 17 23 31 34 46 51 62 68 69 92 93 102 124 138 186 204 239 276 372 391 478 527 713 717 782 956 1054 1173 1426 1434 1564 1581 2108 2139 2346 2852 2868 3162 4063 4278 4692 5497 6324 7409 8126 8556 10994 12121 12189 14818 16252 16491 21988 22227 24242 24378 29636 32982 36363 44454 48484 48756 65964 72726 88908 93449 125953 145452 170407 186898 251906 280347 340814 373796 377859 503812 511221 560694 681628 755718 1022442 1121388 1511436 2044884 2896919 5793838 8690757 11587676 17381514 34763028