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352229696 = 26713197307
BaseRepresentation
bin10100111111101…
…001100101000000
3220112210010022022
4110333221211000
51210132322241
654541301012
711504621510
oct2477514500
9815703268
10352229696
11170908425
1299b64768
1357c87050
1434acb840
1520dc954b
hex14fe9940

352229696 has 112 divisors (see below), whose sum is σ = 867436416. Its totient is φ = 138184704.

The previous prime is 352229687. The next prime is 352229711. The reversal of 352229696 is 696922253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147175 + ... + 1147481.

It is an arithmetic number, because the mean of its divisors is an integer number (7744968).

Almost surely, 2352229696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433718208).

352229696 is an abundant number, since it is smaller than the sum of its proper divisors (515206720).

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

352229696 is a wasteful number, since it uses less digits than its factorization.

352229696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 349920, while the sum is 44.

The square root of 352229696 is about 18767.7834599614. The cubic root of 352229696 is about 706.2232145218.

The spelling of 352229696 in words is "three hundred fifty-two million, two hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 197 208 224 307 364 394 416 448 614 728 788 832 1228 1379 1456 1576 2149 2456 2561 2758 2912 3152 3991 4298 4912 5122 5516 5824 6304 7982 8596 9824 10244 11032 12608 15964 17192 17927 19648 20488 22064 27937 31928 34384 35854 40976 44128 55874 60479 63856 68768 71708 81952 88256 111748 120958 127712 137536 143416 163904 223496 241916 255424 286832 423353 446992 483832 573664 786227 846706 893984 967664 1147328 1572454 1693412 1787968 1935328 3144908 3386824 3870656 5503589 6289816 6773648 11007178 12579632 13547296 22014356 25159264 27094592 44028712 50318528 88057424 176114848 352229696