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3368040 = 23351317127
BaseRepresentation
bin1100110110010001101000
320100010002020
430312101220
51330234130
6200104440
740425234
oct14662150
96303066
103368040
1119a0505
121165120
1390c030
146395c4
15467e10
hex336468

3368040 has 128 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 774144.

The previous prime is 3368021. The next prime is 3368041. The reversal of 3368040 is 408633.

It is a super-2 number, since 2×33680402 = 22687386883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3368040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26457 + ... + 26583.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 23368040 is an apocalyptic number.

3368040 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 3368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3368040 is an abundant number, since it is smaller than the sum of its proper divisors (8244120).

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

3368040 is a wasteful number, since it uses less digits than its factorization.

3368040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3368040 is about 1835.2220574089. Note that the first 3 decimals coincide. The cubic root of 3368040 is about 149.8968179282.

The spelling of 3368040 in words is "three million, three hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 127 130 136 156 170 195 204 221 254 255 260 312 340 381 390 408 442 508 510 520 635 663 680 762 780 884 1016 1020 1105 1270 1326 1524 1560 1651 1768 1905 2040 2159 2210 2540 2652 3048 3302 3315 3810 4318 4420 4953 5080 5304 6477 6604 6630 7620 8255 8636 8840 9906 10795 12954 13208 13260 15240 16510 17272 19812 21590 24765 25908 26520 28067 32385 33020 39624 43180 49530 51816 56134 64770 66040 84201 86360 99060 112268 129540 140335 168402 198120 224536 259080 280670 336804 421005 561340 673608 842010 1122680 1684020 3368040