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3364740 = 223453167
BaseRepresentation
bin1100110101011110000100
320022221120000
430311132010
51330132430
6200041300
740412511
oct14653604
96287500
103364740
111998a85
121163230
1390a692
14638308
15466e60
hex335784

3364740 has 120 divisors (see below), whose sum is σ = 11058432. Its totient is φ = 855360.

The previous prime is 3364727. The next prime is 3364741. The reversal of 3364740 is 474633.

3364740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33647402 = 22642950535200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50187 + ... + 50253.

Almost surely, 23364740 is an apocalyptic number.

3364740 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 3364740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529216).

3364740 is an abundant number, since it is smaller than the sum of its proper divisors (7693692).

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

3364740 is a wasteful number, since it uses less digits than its factorization.

3364740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3364740 is about 1834.3227633108. The cubic root of 3364740 is about 149.8478457127.

The spelling of 3364740 in words is "three million, three hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 67 81 90 93 108 124 134 135 155 162 180 186 201 268 270 279 310 324 335 372 402 405 465 540 558 603 620 670 804 810 837 930 1005 1116 1206 1340 1395 1620 1674 1809 1860 2010 2077 2412 2511 2790 3015 3348 3618 4020 4154 4185 5022 5427 5580 6030 6231 7236 8308 8370 9045 10044 10385 10854 12060 12462 12555 16740 18090 18693 20770 21708 24924 25110 27135 31155 36180 37386 41540 50220 54270 56079 62310 74772 93465 108540 112158 124620 168237 186930 224316 280395 336474 373860 560790 672948 841185 1121580 1682370 3364740