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4329072 = 243311911
BaseRepresentation
bin10000100000111001110000
322010221101000
4100200321300
52102012242
6232442000
751540126
oct20407160
98127330
104329072
112497550
121549300
13b875a7
14809916
155a7a4c
hex420e70

4329072 has 80 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 1310400.

The previous prime is 4329053. The next prime is 4329079. The reversal of 4329072 is 2709234.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (4329079) 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, 4297 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

Almost surely, 24329072 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 4329072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

4329072 is an abundant number, since it is smaller than the sum of its proper divisors (9241488).

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

4329072 is a wasteful number, since it uses less digits than its factorization.

4329072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4329072 is about 2080.6422085500. The cubic root of 4329072 is about 162.9789828247.

Adding to 4329072 its product of nonzero digits (3024), we get a triangular number (4332096 = T2943).

The spelling of 4329072 in words is "four million, three hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 911 1188 1584 1822 2376 2733 3644 4752 5466 7288 8199 10021 10932 14576 16398 20042 21864 24597 30063 32796 40084 43728 49194 60126 65592 80168 90189 98388 120252 131184 160336 180378 196776 240504 270567 360756 393552 481008 541134 721512 1082268 1443024 2164536 4329072