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4330816 = 26721381
BaseRepresentation
bin10000100001010101000000
322011000202121
4100201111000
52102041231
6232454024
751545200
oct20412500
98130677
104330816
112498896
12154a314
13b88319
1480a400
155a8311
hex421540

4330816 has 42 divisors (see below), whose sum is σ = 10004298. Its totient is φ = 1854720.

The previous prime is 4330783. The next prime is 4330819. The reversal of 4330816 is 6180334.

It can be written as a sum of positive squares in only one way, i.e., 3625216 + 705600 = 1904^2 + 840^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330819) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2446 + ... + 3826.

Almost surely, 24330816 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 4330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002149).

4330816 is an abundant number, since it is smaller than the sum of its proper divisors (5673482).

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

4330816 is a wasteful number, since it uses less digits than its factorization.

4330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4330816 is about 2081.0612677189. The cubic root of 4330816 is about 163.0008656659. Note that the first 3 decimals are identical.

The spelling of 4330816 in words is "four million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1381 1568 2762 3136 5524 9667 11048 19334 22096 38668 44192 67669 77336 88384 135338 154672 270676 309344 541352 618688 1082704 2165408 4330816