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3484896 = 253311171
BaseRepresentation
bin1101010010110011100000
320120001101020
431102303200
51343004041
6202405440
741423022
oct15226340
96501336
103484896
111a70288
121200880
1395028c
1466a012
1548c866
hex352ce0

3484896 has 48 divisors (see below), whose sum is σ = 9451008. Its totient is φ = 1123200.

The previous prime is 3484889. The next prime is 3484903. The reversal of 3484896 is 6984843.

It is an interprime number because it is at equal distance from previous prime (3484889) and next prime (3484903).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2391 + ... + 3561.

It is an arithmetic number, because the mean of its divisors is an integer number (196896).

Almost surely, 23484896 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 3484896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725504).

3484896 is an abundant number, since it is smaller than the sum of its proper divisors (5966112).

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

3484896 is a wasteful number, since it uses less digits than its factorization.

3484896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1207 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3484896 is about 1866.7876151293. The cubic root of 3484896 is about 151.6107306240.

The spelling of 3484896 in words is "three million, four hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1171 1488 2342 2976 3513 4684 7026 9368 14052 18736 28104 36301 37472 56208 72602 108903 112416 145204 217806 290408 435612 580816 871224 1161632 1742448 3484896