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694406106 = 232174753911
BaseRepresentation
bin101001011000111…
…100101111011010
31210101122111002200
4221120330233122
52410231443411
6152523311030
723131232412
oct5130745732
91711574080
10694406106
11326a79649
1217467b476
13b0b311b4
146831d642
1540e69e56
hex2963cbda

694406106 has 96 divisors (see below), whose sum is σ = 1659460608. Its totient is φ = 208965120.

The previous prime is 694406071. The next prime is 694406143. The reversal of 694406106 is 601604496.

It is a Curzon 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, 761791 + ... + 762701.

It is an arithmetic number, because the mean of its divisors is an integer number (17286048).

Almost surely, 2694406106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 694406106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829730304).

694406106 is an abundant number, since it is smaller than the sum of its proper divisors (965054502).

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

694406106 is a wasteful number, since it uses less digits than its factorization.

694406106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 694406106 is about 26351.5864038581. The cubic root of 694406106 is about 885.5325110817.

The spelling of 694406106 in words is "six hundred ninety-four million, four hundred six thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 47 51 53 94 102 106 141 153 159 282 306 318 423 477 799 846 901 911 954 1598 1802 1822 2397 2491 2703 2733 4794 4982 5406 5466 7191 7473 8109 8199 14382 14946 15487 16218 16398 22419 30974 42347 42817 44838 46461 48283 84694 85634 92922 96566 127041 128451 139383 144849 254082 256902 278766 289698 381123 385353 434547 727889 762246 770706 820811 869094 1455778 1641622 2183667 2269301 2462433 4367334 4538602 4924866 6551001 6807903 7387299 13102002 13615806 14774598 20423709 38578117 40847418 77156234 115734351 231468702 347203053 694406106