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3383640 = 2333513241
BaseRepresentation
bin1100111010000101011000
320100220111000
430322011120
51331234030
6200305000
740521561
oct14720530
96326430
103383640
111a011a7
121172160
13916170
14641168
1546c860
hex33a158

3383640 has 128 divisors (see below), whose sum is σ = 12196800. Its totient is φ = 829440.

The previous prime is 3383621. The next prime is 3383669. The reversal of 3383640 is 463833.

It is a super-2 number, since 2×33836402 = 22898039299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13920 + ... + 14160.

Almost surely, 23383640 is an apocalyptic number.

3383640 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 3383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098400).

3383640 is an abundant number, since it is smaller than the sum of its proper divisors (8813160).

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

3383640 is a wasteful number, since it uses less digits than its factorization.

3383640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3383640 is about 1839.4673141972. The cubic root of 3383640 is about 150.1278909284.

The spelling of 3383640 in words is "three million, three hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 241 260 270 312 351 360 390 468 482 520 540 585 702 723 780 936 964 1080 1170 1205 1404 1446 1560 1755 1928 2169 2340 2410 2808 2892 3133 3510 3615 4338 4680 4820 5784 6266 6507 7020 7230 8676 9399 9640 10845 12532 13014 14040 14460 15665 17352 18798 21690 25064 26028 28197 28920 31330 32535 37596 43380 46995 52056 56394 62660 65070 75192 84591 86760 93990 112788 125320 130140 140985 169182 187980 225576 260280 281970 338364 375960 422955 563940 676728 845910 1127880 1691820 3383640