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20343744 = 263361193
BaseRepresentation
bin100110110011…
…0101111000000
31102021120101000
41031212233000
520201444434
62004012000
7334630131
oct115465700
942246330
1020343744
1110535613
126991000
1342a3a25
1429b7c88
151bbcb99
hex1366bc0

20343744 has 112 divisors (see below), whose sum is σ = 61102240. Its totient is φ = 6635520.

The previous prime is 20343727. The next prime is 20343751. The reversal of 20343744 is 44734302.

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 15 ways as a sum of consecutive naturals, for example, 105312 + ... + 105504.

Almost surely, 220343744 is an apocalyptic number.

20343744 is a gapful number since it is divisible by the number (24) 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 20343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551120).

20343744 is an abundant number, since it is smaller than the sum of its proper divisors (40758496).

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

20343744 is a wasteful number, since it uses less digits than its factorization.

20343744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 20343744 is about 4510.4039730383. The cubic root of 20343744 is about 272.9880443985.

It can be divided in two parts, 2034 and 3744, that added together give a triangular number (5778 = T107).

The spelling of 20343744 in words is "twenty million, three hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 144 183 192 193 216 244 288 366 386 432 488 549 576 579 732 772 864 976 1098 1158 1464 1544 1647 1728 1737 1952 2196 2316 2928 3088 3294 3474 3904 4392 4632 5211 5856 6176 6588 6948 8784 9264 10422 11712 11773 12352 13176 13896 17568 18528 20844 23546 26352 27792 35136 35319 37056 41688 47092 52704 55584 70638 83376 94184 105408 105957 111168 141276 166752 188368 211914 282552 317871 333504 376736 423828 565104 635742 753472 847656 1130208 1271484 1695312 2260416 2542968 3390624 5085936 6781248 10171872 20343744