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3423628544 = 28719193521
BaseRepresentation
bin1100110000010000…
…0110110100000000
322211121011100110012
43030010012310000
524002422103134
61323420124052
7150561235220
oct31404066400
98747140405
103423628544
1114a7604886
127b6696628
134273a9a0b
1424699c080
151508736ce
hexcc106d00

3423628544 has 144 divisors (see below), whose sum is σ = 8279671680. Its totient is φ = 1380188160.

The previous prime is 3423628541. The next prime is 3423628631. The reversal of 3423628544 is 4458263243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423628541) 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, 6571004 + ... + 6571524.

It is an arithmetic number, because the mean of its divisors is an integer number (57497720).

Almost surely, 23423628544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139835840).

3423628544 is an abundant number, since it is smaller than the sum of its proper divisors (4856043136).

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

3423628544 is a wasteful number, since it uses less digits than its factorization.

3423628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its digits is 552960, while the sum is 41.

The square root of 3423628544 is about 58511.7812410458. The cubic root of 3423628544 is about 1507.1699024677.

The spelling of 3423628544 in words is "three billion, four hundred twenty-three million, six hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 193 224 256 266 304 386 448 521 532 608 772 896 1042 1064 1216 1351 1544 1792 2084 2128 2432 2702 3088 3647 3667 4168 4256 4864 5404 6176 7294 7334 8336 8512 9899 10808 12352 14588 14668 16672 17024 19798 21616 24704 25669 29176 29336 33344 34048 39596 43232 49408 51338 58352 58672 66688 69293 79192 86464 100553 102676 116704 117344 133376 138586 158384 172928 201106 205352 233408 234688 277172 316768 345856 402212 410704 466816 469376 554344 633536 703871 804424 821408 933632 938752 1108688 1267072 1407742 1608848 1642816 1910507 2217376 2534144 2815484 3217696 3285632 3821014 4434752 5630968 6435392 6571264 7642028 8869504 11261936 12870784 13373549 15284056 17739008 22523872 25741568 26747098 30568112 45047744 53494196 61136224 90095488 106988392 122272448 180190976 213976784 244544896 427953568 489089792 855907136 1711814272 3423628544