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3378420 = 223251372
BaseRepresentation
bin1100111000110011110100
320100122022200
430320303310
51331102140
6200224500
740500423
oct14706364
96318280
103378420
1119a8291
12116b130
13913986
1463d2ba
1546b030
hex338cf4

3378420 has 54 divisors (see below), whose sum is σ = 10323222. Its totient is φ = 894336.

The previous prime is 3378391. The next prime is 3378439. The reversal of 3378420 is 248733.

It can be written as a sum of positive squares in 3 ways, for example, as 535824 + 2842596 = 732^2 + 1686^2 .

It is a super-2 number, since 2×33784202 = 22827443392800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24592 + ... + 24728.

Almost surely, 23378420 is an apocalyptic number.

3378420 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 3378420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161611).

3378420 is an abundant number, since it is smaller than the sum of its proper divisors (6944802).

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

3378420 is a wasteful number, since it uses less digits than its factorization.

3378420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 147 counting only the distinct ones).

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

The square root of 3378420 is about 1838.0478775048. The cubic root of 3378420 is about 150.0506495622.

The spelling of 3378420 in words is "three million, three hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 18769 24660 37538 56307 75076 93845 112614 168921 187690 225228 281535 337842 375380 563070 675684 844605 1126140 1689210 3378420