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3460428 = 22331792
BaseRepresentation
bin1101001100110101001100
320111210211000
431030311030
51341213203
6202100300
741261466
oct15146514
96453730
103460428
111a53964
1211aa690
139420ba
14661136
154854a3
hex34cd4c

3460428 has 36 divisors (see below), whose sum is σ = 9021880. Its totient is φ = 1147032.

The previous prime is 3460427. The next prime is 3460433. The reversal of 3460428 is 8240643.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3460428 is a `hidden beast` number, since 34 + 604 + 28 = 666.

3460428 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 (36).

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

It is not an unprimeable number, because it can be changed into a prime (3460421) 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 11 ways as a sum of consecutive naturals, for example, 19243 + ... + 19421.

Almost surely, 23460428 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 3460428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510940).

3460428 is an abundant number, since it is smaller than the sum of its proper divisors (5561452).

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

3460428 is a wasteful number, since it uses less digits than its factorization.

3460428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3460428 is about 1860.2225673290. Note that the first 3 decimals coincide. The cubic root of 3460428 is about 151.2550693836.

Multiplying 3460428 by its sum of digits (27), we get a square (93431556 = 96662).

3460428 divided by its sum of digits (27) gives a square (128164 = 3582).

The spelling of 3460428 in words is "three million, four hundred sixty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1074 1611 2148 3222 4833 6444 9666 19332 32041 64082 96123 128164 192246 288369 384492 576738 865107 1153476 1730214 3460428