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3412435520 = 265132633119
BaseRepresentation
bin1100101101100101…
…1010001001000000
322210211002200111202
43023121122021000
523442040414040
61322340200332
7150364136414
oct31331321100
98724080452
103412435520
1114a125a34a
127b29990a8
13424c8b120
142452c6d44
1514e8b2015
hexcb65a240

3412435520 has 112 divisors (see below), whose sum is σ = 8787018240. Its totient is φ = 1254782976.

The previous prime is 3412435513. The next prime is 3412435541. The reversal of 3412435520 is 255342143.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092521 + ... + 1095639.

It is an arithmetic number, because the mean of its divisors is an integer number (78455520).

Almost surely, 23412435520 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 3412435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393509120).

3412435520 is an abundant number, since it is smaller than the sum of its proper divisors (5374582720).

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

3412435520 is a wasteful number, since it uses less digits than its factorization.

3412435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 3412435520 is about 58416.0553272814. The cubic root of 3412435520 is about 1505.5256229626.

Adding to 3412435520 its reverse (255342143), we get a palindrome (3667777663).

The spelling of 3412435520 in words is "three billion, four hundred twelve million, four hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 263 320 416 520 526 832 1040 1052 1315 2080 2104 2630 3119 3419 4160 4208 5260 6238 6838 8416 10520 12476 13676 15595 16832 17095 21040 24952 27352 31190 34190 40547 42080 49904 54704 62380 68380 81094 84160 99808 109408 124760 136760 162188 199616 202735 218816 249520 273520 324376 405470 499040 547040 648752 810940 820297 998080 1094080 1297504 1621880 1640594 2595008 3243760 3281188 4101485 6487520 6562376 8202970 10663861 12975040 13124752 16405940 21327722 26249504 32811880 42655444 52499008 53319305 65623760 85310888 106638610 131247520 170621776 213277220 262495040 341243552 426554440 682487104 853108880 1706217760 3412435520