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3372480 = 263251171
BaseRepresentation
bin1100110111010111000000
320100100011200
430313113000
51330404410
6200141200
740444206
oct14672700
96310150
103372480
1119a3881
121167800
13911067
1463b076
154693c0
hex3375c0

3372480 has 84 divisors (see below), whose sum is σ = 11609832. Its totient is φ = 898560.

The previous prime is 3372461. The next prime is 3372503. The reversal of 3372480 is 842733.

3372480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33724802 = 22747242700800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2295 + ... + 3465.

Almost surely, 23372480 is an apocalyptic number.

3372480 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 3372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804916).

3372480 is an abundant number, since it is smaller than the sum of its proper divisors (8237352).

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

3372480 is a wasteful number, since it uses less digits than its factorization.

3372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3372480 is about 1836.4313218849. The cubic root of 3372480 is about 149.9626573710.

The spelling of 3372480 in words is "three million, three hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1171 1440 2342 2880 3513 4684 5855 7026 9368 10539 11710 14052 17565 18736 21078 23420 28104 35130 37472 42156 46840 52695 56208 70260 74944 84312 93680 105390 112416 140520 168624 187360 210780 224832 281040 337248 374720 421560 562080 674496 843120 1124160 1686240 3372480