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3371940 = 223251113131
BaseRepresentation
bin1100110111001110100100
320100022102200
430313032210
51330400230
6200134500
740442505
oct14671644
96308380
103371940
1119a3430
121167430
13910a40
1463abac
15469160
hex3373a4

3371940 has 144 divisors (see below), whose sum is σ = 12108096. Its totient is φ = 748800.

The previous prime is 3371887. The next prime is 3371947. The reversal of 3371940 is 491733.

It is a super-2 number, since 2×33719402 = 22739958727200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3371947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25675 + ... + 25805.

It is an arithmetic number, because the mean of its divisors is an integer number (84084).

Almost surely, 23371940 is an apocalyptic number.

3371940 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 3371940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054048).

3371940 is an abundant number, since it is smaller than the sum of its proper divisors (8736156).

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

3371940 is a wasteful number, since it uses less digits than its factorization.

3371940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3371940 is about 1836.2842917152. The cubic root of 3371940 is about 149.9546529590.

The spelling of 3371940 in words is "three million, three hundred seventy-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 131 132 143 156 165 180 195 198 220 234 260 262 286 330 390 393 396 429 468 495 524 572 585 655 660 715 780 786 858 990 1170 1179 1287 1310 1430 1441 1572 1703 1716 1965 1980 2145 2340 2358 2574 2620 2860 2882 3406 3930 4290 4323 4716 5109 5148 5764 5895 6435 6812 7205 7860 8515 8580 8646 10218 11790 12870 12969 14410 15327 17030 17292 18733 20436 21615 23580 25545 25740 25938 28820 30654 34060 37466 43230 51090 51876 56199 61308 64845 74932 76635 86460 93665 102180 112398 129690 153270 168597 187330 224796 259380 280995 306540 337194 374660 561990 674388 842985 1123980 1685970 3371940