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3480240 = 243517853
BaseRepresentation
bin1101010001101010110000
320112210222210
431101222300
51342331430
6202332120
741403321
oct15215260
96483883
103480240
111a67835
1211ba040
1394b11a
14668448
1548b2b0
hex351ab0

3480240 has 80 divisors (see below), whose sum is σ = 11436768. Its totient is φ = 872448.

The previous prime is 3480229. The next prime is 3480251. The reversal of 3480240 is 420843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3480229) and next prime (3480251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34802402 = 24224140915200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3654 + ... + 4506.

Almost surely, 23480240 is an apocalyptic number.

3480240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718384).

3480240 is an abundant number, since it is smaller than the sum of its proper divisors (7956528).

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

3480240 is a wasteful number, since it uses less digits than its factorization.

3480240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3480240 is about 1865.5401362608. The cubic root of 3480240 is about 151.5431806246.

The spelling of 3480240 in words is "three million, four hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 853 1020 1360 1706 2040 2559 3412 4080 4265 5118 6824 8530 10236 12795 13648 14501 17060 20472 25590 29002 34120 40944 43503 51180 58004 68240 72505 87006 102360 116008 145010 174012 204720 217515 232016 290020 348024 435030 580040 696048 870060 1160080 1740120 3480240