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3405720 = 2335101281
BaseRepresentation
bin1100111111011110011000
320102000202210
430333132120
51332440340
6200555120
740643133
oct14773630
96360683
103405720
111a1684a
121182aa0
13923226
1464921a
15474180
hex33f798

3405720 has 64 divisors (see below), whose sum is σ = 10355040. Its totient is φ = 896000.

The previous prime is 3405713. The next prime is 3405737. The reversal of 3405720 is 275043.

It is a happy number.

It is a congruent number.

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, 11980 + ... + 12260.

Almost surely, 23405720 is an apocalyptic number.

3405720 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 3405720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177520).

3405720 is an abundant number, since it is smaller than the sum of its proper divisors (6949320).

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

3405720 is a wasteful number, since it uses less digits than its factorization.

3405720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 3405720 is about 1845.4592924256. The cubic root of 3405720 is about 150.4537372108.

The spelling of 3405720 in words is "three million, four hundred five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 281 303 404 505 562 606 808 843 1010 1124 1212 1405 1515 1686 2020 2248 2424 2810 3030 3372 4040 4215 5620 6060 6744 8430 11240 12120 16860 28381 33720 56762 85143 113524 141905 170286 227048 283810 340572 425715 567620 681144 851430 1135240 1702860 3405720