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3744280064 = 2974183307
BaseRepresentation
bin1101111100101101…
…0010111000000000
3100122221112010122102
43133023102320000
530132013430224
61415312525532
7161533566260
oct33713227000
910587463572
103744280064
111651604038
12885b508a8
13478958645
142773c97a0
1516dab14ae
hexdf2d2e00

3744280064 has 160 divisors (see below), whose sum is σ = 8892930816. Its totient is φ = 1541652480.

The previous prime is 3744280063. The next prime is 3744280079. The reversal of 3744280064 is 4600824473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744280063) 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, 12196199 + ... + 12196505.

Almost surely, 23744280064 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 3744280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446465408).

3744280064 is an abundant number, since it is smaller than the sum of its proper divisors (5148650752).

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

3744280064 is an equidigital number, since it uses as much as digits as its factorization.

3744280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 3744280064 is about 61190.5226648703. The cubic root of 3744280064 is about 1552.8259322967.

The spelling of 3744280064 in words is "three billion, seven hundred forty-four million, two hundred eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 83 112 128 164 166 224 256 287 307 328 332 448 512 574 581 614 656 664 896 1148 1162 1228 1312 1328 1792 2149 2296 2324 2456 2624 2656 3403 3584 4298 4592 4648 4912 5248 5312 6806 8596 9184 9296 9824 10496 10624 12587 13612 17192 18368 18592 19648 20992 21248 23821 25174 25481 27224 34384 36736 37184 39296 42496 47642 50348 50962 54448 68768 73472 74368 78592 88109 95284 100696 101924 108896 137536 146944 148736 157184 176218 178367 190568 201392 203848 217792 275072 297472 352436 356734 381136 402784 407696 435584 550144 704872 713468 762272 805568 815392 871168 1044721 1100288 1409744 1426936 1524544 1611136 1630784 1742336 2089442 2819488 2853872 3049088 3222272 3261568 4178884 5638976 5707744 6098176 6444544 6523136 7313047 8357768 11277952 11415488 12196352 13046272 14626094 16715536 22555904 22830976 29252188 33431072 45111808 45661952 58504376 66862144 91323904 117008752 133724288 234017504 267448576 468035008 534897152 936070016 1872140032 3744280064