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3454144 = 26311741
BaseRepresentation
bin1101001011010011000000
320111111012021
431023103000
51341013034
6202011224
741234251
oct15132300
96444167
103454144
111a4a171
1211a6b14
1393c295
1465cb28
154836b4
hex34b4c0

3454144 has 28 divisors (see below), whose sum is σ = 7079488. Its totient is φ = 1670400.

The previous prime is 3454123. The next prime is 3454153. The reversal of 3454144 is 4414543.

It is a super-2 number, since 2×34541442 = 23862221545472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1114 + ... + 2854.

Almost surely, 23454144 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 3454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539744).

3454144 is an abundant number, since it is smaller than the sum of its proper divisors (3625344).

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

3454144 is a wasteful number, since it uses less digits than its factorization.

3454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1774 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 3454144 is about 1858.5327546212. The cubic root of 3454144 is about 151.1634561703.

Adding to 3454144 its reverse (4414543), we get a palindrome (7868687).

It can be divided in two parts, 345 and 4144, that added together give a square (4489 = 672).

The spelling of 3454144 in words is "three million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1741 1984 3482 6964 13928 27856 53971 55712 107942 111424 215884 431768 863536 1727072 3454144