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3428352 = 2123331
BaseRepresentation
bin1101000101000000000000
320110011211000
431011000000
51334201402
6201252000
741066124
oct15050000
96404730
103428352
111a31854
121194000
13930615
14653584
1547ac1c
hex345000

3428352 has 104 divisors (see below), whose sum is σ = 10484480. Its totient is φ = 1105920.

The previous prime is 3428329. The next prime is 3428353. The reversal of 3428352 is 2538243.

3428352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (5760) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110577 + ... + 110607.

Almost surely, 23428352 is an apocalyptic number.

3428352 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 3428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242240).

3428352 is an abundant number, since it is smaller than the sum of its proper divisors (7056128).

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

3428352 is an equidigital number, since it uses as much as digits as its factorization.

3428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3428352 is about 1851.5809461106. The cubic root of 3428352 is about 150.7862713148.

The spelling of 3428352 in words is "three million, four hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1024 1116 1152 1488 1536 1674 1728 1984 2048 2232 2304 2976 3072 3348 3456 3968 4096 4464 4608 5952 6144 6696 6912 7936 8928 9216 11904 12288 13392 13824 15872 17856 18432 23808 26784 27648 31744 35712 36864 47616 53568 55296 63488 71424 95232 107136 110592 126976 142848 190464 214272 285696 380928 428544 571392 857088 1142784 1714176 3428352