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34528862340 = 22325723914837
BaseRepresentation
bin100000001010000101…
…001010000010000100
310022010101010221120100
4200022011022002010
51031203342043330
623510133204100
72331441326100
oct401205120204
9108111127510
1034528862340
1113709708375
126837790630
133343735abb
141957b08900
15d71519060
hex80a14a084

34528862340 has 108 divisors (see below), whose sum is σ = 121837588236. Its totient is φ = 7892309376.

The previous prime is 34528862321. The next prime is 34528862363. The reversal of 34528862340 is 4326882543.

34528862340 is a `hidden beast` number, since 3 + 4 + 528 + 86 + 2 + 3 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22823353476 + 11705508864 = 151074^2 + 108192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1948599 + ... + 1966238.

It is an arithmetic number, because the mean of its divisors is an integer number (1128125817).

Almost surely, 234528862340 is an apocalyptic number.

34528862340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34528862340 is an abundant number, since it is smaller than the sum of its proper divisors (87308725896).

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

34528862340 is a wasteful number, since it uses less digits than its factorization.

34528862340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914866 (or 3914854 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 34528862340 in words is "thirty-four billion, five hundred twenty-eight million, eight hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 3914837 7829674 11744511 15659348 19574185 23489022 27403859 35233533 39148370 46978044 54807718 58722555 70467066 78296740 82211577 109615436 117445110 137019295 140934132 164423154 176167665 191827013 234890220 246634731 274038590 328846308 352335330 383654026 411057885 493269462 548077180 575481039 704670660 767308052 822115770 959135065 986538924 1150962078 1233173655 1644231540 1726443117 1918270130 2301924156 2466347310 2877405195 3452886234 3836540260 4932694620 5754810390 6905772468 8632215585 11509620780 17264431170 34528862340