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3344640 = 28351367
BaseRepresentation
bin1100110000100100000000
320021220222120
430300210000
51324012030
6155404240
740300065
oct14604400
96256876
103344640
111984972
121153680
139014a0
14630c6c
15461010
hex330900

3344640 has 144 divisors (see below), whose sum is σ = 11675328. Its totient is φ = 811008.

The previous prime is 3344633. The next prime is 3344647. The reversal of 3344640 is 464433.

It is an interprime number because it is at equal distance from previous prime (3344633) and next prime (3344647).

It is a super-2 number, since 2×33446402 = 22373233459200, which contains 22 as substring.

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

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 3344640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49887 + ... + 49953.

Almost surely, 23344640 is an apocalyptic number.

3344640 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 3344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837664).

3344640 is an abundant number, since it is smaller than the sum of its proper divisors (8330688).

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

3344640 is a wasteful number, since it uses less digits than its factorization.

3344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3344640 is about 1828.8356951897. The cubic root of 3344640 is about 149.5488667745.

The spelling of 3344640 in words is "three million, three hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 67 78 80 96 104 120 128 130 134 156 160 192 195 201 208 240 256 260 268 312 320 335 384 390 402 416 480 520 536 624 640 670 768 780 804 832 871 960 1005 1040 1072 1248 1280 1340 1560 1608 1664 1742 1920 2010 2080 2144 2496 2613 2680 3120 3216 3328 3484 3840 4020 4160 4288 4355 4992 5226 5360 6240 6432 6968 8040 8320 8576 8710 9984 10452 10720 12480 12864 13065 13936 16080 16640 17152 17420 20904 21440 24960 25728 26130 27872 32160 34840 41808 42880 49920 51456 52260 55744 64320 69680 83616 85760 104520 111488 128640 139360 167232 209040 222976 257280 278720 334464 418080 557440 668928 836160 1114880 1672320 3344640