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4374432 = 25336183
BaseRepresentation
bin10000101011111110100000
322020020121000
4100223332200
52104440212
6233432000
752116306
oct20537640
98206530
104374432
112518637
12156b600
13ba212a
1481c276
155b61dc
hex42bfa0

4374432 has 96 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1416960.

The previous prime is 4374421. The next prime is 4374451. The reversal of 4374432 is 2344734.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4374396 and 4374405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52663 + ... + 52745.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 24374432 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 4374432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

4374432 is an abundant number, since it is smaller than the sum of its proper divisors (8749728).

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

4374432 is a wasteful number, since it uses less digits than its factorization.

4374432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 4374432 is about 2091.5142839579. The cubic root of 4374432 is about 163.5462372387.

It can be divided in two parts, 4374 and 432, that multiplied together give a 5-th power (1889568 = 185).

The spelling of 4374432 in words is "four million, three hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 83 96 108 122 144 166 183 216 244 249 288 332 366 432 488 498 549 664 732 747 864 976 996 1098 1328 1464 1494 1647 1952 1992 2196 2241 2656 2928 2988 3294 3984 4392 4482 5063 5856 5976 6588 7968 8784 8964 10126 11952 13176 15189 17568 17928 20252 23904 26352 30378 35856 40504 45567 52704 60756 71712 81008 91134 121512 136701 162016 182268 243024 273402 364536 486048 546804 729072 1093608 1458144 2187216 4374432