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3380480 = 28519139
BaseRepresentation
bin1100111001010100000000
320100202010222
430321110000
51331133410
6200242212
740506425
oct14712400
96322128
103380480
1119a9894
121170368
139148ac
1463dd4c
1546b955
hex339500

3380480 has 72 divisors (see below), whose sum is σ = 8584800. Its totient is φ = 1271808.

The previous prime is 3380473. The next prime is 3380483. The reversal of 3380480 is 840833.

It is a super-2 number, since 2×33804802 = 22855290060800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24251 + ... + 24389.

Almost surely, 23380480 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 3380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292400).

3380480 is an abundant number, since it is smaller than the sum of its proper divisors (5204320).

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

3380480 is a wasteful number, since it uses less digits than its factorization.

3380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3380480 is about 1838.6081692411. The cubic root of 3380480 is about 150.0811412846.

The spelling of 3380480 in words is "three million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 139 152 160 190 256 278 304 320 380 556 608 640 695 760 1112 1216 1280 1390 1520 2224 2432 2641 2780 3040 4448 4864 5282 5560 6080 8896 10564 11120 12160 13205 17792 21128 22240 24320 26410 35584 42256 44480 52820 84512 88960 105640 169024 177920 211280 338048 422560 676096 845120 1690240 3380480