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830933397 = 3572367317
BaseRepresentation
bin110001100001110…
…000100110010101
32010220112210100000
4301201300212111
53200204332042
6214241441513
726406550230
oct6141604625
92126483300
10830933397
11397049618
121b2340299
131031c3988
147c4dc417
154ce3774c
hex31870995

830933397 has 96 divisors (see below), whose sum is σ = 1511258112. Its totient is φ = 445984704.

The previous prime is 830933387. The next prime is 830933447. The reversal of 830933397 is 793339038.

830933397 is a `hidden beast` number, since 8 + 309 + 3 + 339 + 7 = 666.

It is not a de Polignac number, because 830933397 - 214 = 830917013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830933357) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2621083 + ... + 2621399.

It is an arithmetic number, because the mean of its divisors is an integer number (15742272).

Almost surely, 2830933397 is an apocalyptic number.

It is an amenable number.

830933397 is a deficient number, since it is larger than the sum of its proper divisors (680324715).

830933397 is a wasteful number, since it uses less digits than its factorization.

830933397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 830933397 is about 28825.9153714154. The cubic root of 830933397 is about 940.1317896554.

The spelling of 830933397 in words is "eight hundred thirty million, nine hundred thirty-three thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 21 23 27 63 67 69 81 161 189 201 207 243 317 469 483 567 603 621 951 1407 1449 1541 1701 1809 1863 2219 2853 4221 4347 4623 5427 5589 6657 7291 8559 10787 12663 13041 13869 16281 19971 21239 21873 25677 32361 37989 39123 41607 51037 59913 63717 65619 77031 97083 113967 124821 148673 153111 179739 191151 196857 291249 374463 446019 459333 488497 539217 573453 590571 873747 1338057 1377999 1465491 1720359 1771713 2621241 3419479 4014171 4133997 4396473 5161077 10258437 12042513 12401991 13189419 30775311 36127539 39568257 92325933 118704771 276977799 830933397