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3381420 = 223578397
BaseRepresentation
bin1100111001100010101100
320100210102210
430321202230
51331201140
6200250420
740512240
oct14714254
96323383
103381420
1119aa569
121170a10
13915153
14640420
1546bd80
hex3398ac

3381420 has 96 divisors (see below), whose sum is σ = 11063808. Its totient is φ = 755712.

The previous prime is 3381409. The next prime is 3381431. The reversal of 3381420 is 241833.

It is a happy number.

3381420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3381409) and next prime (3381431).

It is a super-2 number, since 2×33814202 = 22868002432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 34812 + ... + 34908.

It is an arithmetic number, because the mean of its divisors is an integer number (115248).

Almost surely, 23381420 is an apocalyptic number.

3381420 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 3381420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531904).

3381420 is an abundant number, since it is smaller than the sum of its proper divisors (7682388).

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

3381420 is a wasteful number, since it uses less digits than its factorization.

3381420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3381420 is about 1838.8637796204. The cubic root of 3381420 is about 150.0950508673.

The spelling of 3381420 in words is "three million, three hundred eighty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 97 105 140 166 194 210 249 291 332 388 415 420 485 498 581 582 679 830 970 996 1162 1164 1245 1358 1455 1660 1743 1940 2037 2324 2490 2716 2905 2910 3395 3486 4074 4980 5810 5820 6790 6972 8051 8148 8715 10185 11620 13580 16102 17430 20370 24153 32204 34860 40255 40740 48306 56357 80510 96612 112714 120765 161020 169071 225428 241530 281785 338142 483060 563570 676284 845355 1127140 1690710 3381420