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3078432 = 25337509
BaseRepresentation
bin1011101111100100100000
312210101211000
423233210200
51242002212
6145552000
735111010
oct13574440
95711730
103078432
111812965
121045600
1383a276
145a1c40
1540c1dc
hex2ef920

3078432 has 96 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 877824.

The previous prime is 3078431. The next prime is 3078451. The reversal of 3078432 is 2348703.

3078432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3078396 and 3078405.

It is not an unprimeable number, because it can be changed into a prime (3078431) by changing a digit.

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, 5794 + ... + 6302.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

Almost surely, 23078432 is an apocalyptic number.

3078432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3078432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3078432 is an abundant number, since it is smaller than the sum of its proper divisors (7203168).

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

3078432 is a wasteful number, since it uses less digits than its factorization.

3078432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3078432 is about 1754.5460951483. The cubic root of 3078432 is about 145.4710326008.

The spelling of 3078432 in words is "three million, seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 509 672 756 864 1008 1018 1512 1527 2016 2036 3024 3054 3563 4072 4581 6048 6108 7126 8144 9162 10689 12216 13743 14252 16288 18324 21378 24432 27486 28504 32067 36648 42756 48864 54972 57008 64134 73296 85512 96201 109944 114016 128268 146592 171024 192402 219888 256536 342048 384804 439776 513072 769608 1026144 1539216 3078432