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834720601 = 1113293143151
BaseRepresentation
bin110001110000001…
…101001101011001
32011011200012101211
4301300031031121
53202142024401
6214454543121
726454002521
oct6160151531
92134605354
10834720601
113991a5a40
121b3667aa1
13103c1b720
147cc06681
154d434951
hex31c0d359

834720601 has 64 divisors (see below), whose sum is σ = 1078640640. Its totient is φ = 635040000.

The previous prime is 834720563. The next prime is 834720631. The reversal of 834720601 is 106027438.

It is a 4-Lehmer number, since φ(834720601) divides (834720601-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 834720601 - 225 = 801166169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a deceptive number, since it divides R834720600.

It is not an unprimeable number, because it can be changed into a prime (834720631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5527876 + ... + 5528026.

It is an arithmetic number, because the mean of its divisors is an integer number (16853760).

It is a Poulet number, since it divides 2834720600-1.

Almost surely, 2834720601 is an apocalyptic number.

It is an amenable number.

834720601 is a deficient number, since it is larger than the sum of its proper divisors (243920039).

834720601 is a wasteful number, since it uses less digits than its factorization.

834720601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 834720601 is about 28891.5316485644. The cubic root of 834720601 is about 941.5579269256.

The spelling of 834720601 in words is "eight hundred thirty-four million, seven hundred twenty thousand, six hundred one".

Divisors: 1 11 13 29 31 43 143 151 319 341 377 403 473 559 899 1247 1333 1661 1963 4147 4379 4433 4681 6149 6493 9889 11687 13717 14663 16211 17329 21593 38657 48169 51491 56927 60853 71423 84409 128557 135749 178321 188297 190619 201283 425227 502541 626197 669383 928499 1493239 1764737 2071267 2214113 2447861 2616679 5527951 5837207 19412107 26926471 28783469 64209277 75883691 834720601