Search a number
-
+
3341940 = 2235773109
BaseRepresentation
bin1100101111111001110100
320021210021120
430233321310
51323420230
6155343540
740256160
oct14577164
96253246
103341940
111982938
121151bb0
139001a4
1462dca0
15460310
hex32fe74

3341940 has 96 divisors (see below), whose sum is σ = 10940160. Its totient is φ = 746496.

The previous prime is 3341903. The next prime is 3341953. The reversal of 3341940 is 491433.

It is a super-2 number, since 2×33419402 = 22337125927200, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3341940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30606 + ... + 30714.

It is an arithmetic number, because the mean of its divisors is an integer number (113960).

Almost surely, 23341940 is an apocalyptic number.

3341940 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 3341940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470080).

3341940 is an abundant number, since it is smaller than the sum of its proper divisors (7598220).

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

3341940 is a wasteful number, since it uses less digits than its factorization.

3341940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3341940 is about 1828.0973715861. The cubic root of 3341940 is about 149.5086142469.

The spelling of 3341940 in words is "three million, three hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 109 140 146 210 218 219 292 327 365 420 436 438 511 545 654 730 763 876 1022 1090 1095 1308 1460 1526 1533 1635 2044 2180 2190 2289 2555 3052 3066 3270 3815 4380 4578 5110 6132 6540 7630 7665 7957 9156 10220 11445 15260 15330 15914 22890 23871 30660 31828 39785 45780 47742 55699 79570 95484 111398 119355 159140 167097 222796 238710 278495 334194 477420 556990 668388 835485 1113980 1670970 3341940