Search a number
-
+
354314661164 = 2217234147117563
BaseRepresentation
bin1010010011111101100…
…11001010110100101100
31020212112210112200210022
411021332303022310230
521301114023124124
6430434144501312
734412150633222
oct5117663126454
91225483480708
10354314661164
1112729a431122
125880331a838
1327547752179
14132128d4b12
15933ac31c5e
hex527eccad2c

354314661164 has 96 divisors (see below), whose sum is σ = 716715288576. Its totient is φ = 152285112320.

The previous prime is 354314661161. The next prime is 354314661191. The reversal of 354314661164 is 461166413453.

It is not an unprimeable number, because it can be changed into a prime (354314661161) 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, 2955047 + ... + 3072609.

It is an arithmetic number, because the mean of its divisors is an integer number (7465784256).

Almost surely, 2354314661164 is an apocalyptic number.

354314661164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

354314661164 is an abundant number, since it is smaller than the sum of its proper divisors (362400627412).

354314661164 is a wasteful number, since it uses less digits than its factorization.

354314661164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117695 (or 117693 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The spelling of 354314661164 in words is "three hundred fifty-four billion, three hundred fourteen million, six hundred sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 4 17 23 34 41 46 47 68 82 92 94 164 188 391 697 782 799 943 1081 1394 1564 1598 1886 1927 2162 2788 3196 3772 3854 4324 7708 16031 18377 32062 32759 36754 44321 64124 65518 73508 88642 117563 131036 177284 235126 470252 753457 1506914 1998571 2703949 3013828 3997142 4820083 5407898 5525461 7994284 9640166 10815796 11050922 19280332 22101844 45967133 81941411 91934266 93932837 110861909 127085603 163882822 183868532 187865674 221723818 226543901 254171206 327765644 375731348 443447636 453087802 508342412 906175604 1884652453 2160455251 3769304906 3851246317 4320910502 5210509723 7538609812 7702492634 8641821004 10421019446 15404985268 20842038892 88578665291 177157330582 354314661164