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434223790 = 257211136197
BaseRepresentation
bin11001111000011…
…011101010101110
31010021001212001121
4121320123222232
51342130130130
6111030531154
713521561400
oct3170335256
91107055047
10434223790
11203120840
12101506aba
136bc64c70
1441952b70
15281c3d7a
hex19e1baae

434223790 has 96 divisors (see below), whose sum is σ = 1068336864. Its totient is φ = 124911360.

The previous prime is 434223787. The next prime is 434223817. The reversal of 434223790 is 97322434.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66972 + ... + 73168.

It is an arithmetic number, because the mean of its divisors is an integer number (11128509).

Almost surely, 2434223790 is an apocalyptic number.

434223790 is an abundant number, since it is smaller than the sum of its proper divisors (634113074).

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

434223790 is a wasteful number, since it uses less digits than its factorization.

434223790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6235 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 434223790 is about 20838.0370956575. The cubic root of 434223790 is about 757.2475401038.

The spelling of 434223790 in words is "four hundred thirty-four million, two hundred twenty-three thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 130 143 154 182 245 286 385 455 490 539 637 715 770 910 1001 1078 1274 1430 2002 2695 3185 5005 5390 6197 6370 7007 10010 12394 14014 30985 35035 43379 61970 68167 70070 80561 86758 136334 161122 216895 303653 340835 402805 433790 477169 563927 607306 681670 805610 886171 954338 1127854 1518265 1772342 2385845 2819635 3036530 3340183 3947489 4430855 4771690 5639270 6203197 6680366 7894978 8861710 12406394 16700915 19737445 31015985 33401830 39474890 43422379 62031970 86844758 217111895 434223790