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641433390 = 2351379109191
BaseRepresentation
bin100110001110110…
…111111100101110
31122200222012012020
4212032313330232
52303201332030
6143352051010
721616044123
oct4616677456
91580865166
10641433390
112aa088444
1215a993a66
13a2b749b0
146129074a
153b4a4510
hex263b7f2e

641433390 has 128 divisors (see below), whose sum is σ = 1703116800. Its totient is φ = 153653760.

The previous prime is 641433349. The next prime is 641433491. The reversal of 641433390 is 93334146.

It is a super-2 number, since 2×6414333902 = 822873587613784200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3358195 + ... + 3358385.

It is an arithmetic number, because the mean of its divisors is an integer number (13305600).

Almost surely, 2641433390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641433390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851558400).

641433390 is an abundant number, since it is smaller than the sum of its proper divisors (1061683410).

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

641433390 is a wasteful number, since it uses less digits than its factorization.

641433390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 641433390 is about 25326.5352940350. The cubic root of 641433390 is about 862.4167598726.

The spelling of 641433390 in words is "six hundred forty-one million, four hundred thirty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 79 109 130 158 191 195 218 237 327 382 390 395 474 545 573 654 790 955 1027 1090 1146 1185 1417 1635 1910 2054 2370 2483 2834 2865 3081 3270 4251 4966 5135 5730 6162 7085 7449 8502 8611 10270 12415 14170 14898 15089 15405 17222 20819 21255 24830 25833 30178 30810 37245 41638 42510 43055 45267 51666 62457 74490 75445 86110 90534 104095 111943 124914 129165 150890 196157 208190 223886 226335 258330 270647 312285 335829 392314 452670 541294 559715 588471 624570 671658 811941 980785 1119430 1176942 1353235 1623882 1644701 1679145 1961570 2706470 2942355 3289402 3358290 4059705 4934103 5884710 8119410 8223505 9868206 16447010 21381113 24670515 42762226 49341030 64143339 106905565 128286678 213811130 320716695 641433390