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3480080 = 245411061
BaseRepresentation
bin1101010001101000010000
320112210202212
431101220100
51342330310
6202331252
741403002
oct15215020
96483685
103480080
111a676aa
1211b9b28
1394b026
14668372
1548b205
hex351a10

3480080 has 40 divisors (see below), whose sum is σ = 8296344. Its totient is φ = 1356800.

The previous prime is 3480073. The next prime is 3480101. The reversal of 3480080 is 800843.

3480080 = T72 + T73 + ... + T276.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 3429904 = 224^2 + 1852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34800802 = 24221913612800, which contains 22 as substring.

It is an Ulam number.

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, 2750 + ... + 3810.

Almost surely, 23480080 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 3480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148172).

3480080 is an abundant number, since it is smaller than the sum of its proper divisors (4816264).

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

3480080 is a wasteful number, since it uses less digits than its factorization.

3480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3480080 is about 1865.4972527452. The cubic root of 3480080 is about 151.5408582483.

The spelling of 3480080 in words is "three million, four hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1061 1640 2122 3280 4244 5305 8488 10610 16976 21220 42440 43501 84880 87002 174004 217505 348008 435010 696016 870020 1740040 3480080