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4329696 = 253717379
BaseRepresentation
bin10000100001000011100000
322010222020010
4100201003200
52102022241
6232444520
751542010
oct20410340
98128203
104329696
112497a68
121549740
13b87967
14809c40
155a7d16
hex4210e0

4329696 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1161216.

The previous prime is 4329667. The next prime is 4329697. The reversal of 4329696 is 6969234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4329697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11235 + ... + 11613.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 24329696 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 4329696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4329696 is an abundant number, since it is smaller than the sum of its proper divisors (9459744).

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

4329696 is a wasteful number, since it uses less digits than its factorization.

4329696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 4329696 is about 2080.7921568480. The cubic root of 4329696 is about 162.9868131402.

The spelling of 4329696 in words is "four million, three hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 379 408 476 544 672 714 758 816 952 1137 1428 1516 1632 1904 2274 2653 2856 3032 3808 4548 5306 5712 6064 6443 7959 9096 10612 11424 12128 12886 15918 18192 19329 21224 25772 31836 36384 38658 42448 45101 51544 63672 77316 84896 90202 103088 127344 135303 154632 180404 206176 254688 270606 309264 360808 541212 618528 721616 1082424 1443232 2164848 4329696