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3442300272 = 243261675849
BaseRepresentation
bin1100110100101101…
…0101010101110000
322212220021222020200
43031023111111300
524022212102042
61325324235200
7151206032565
oct31513252560
98786258220
103442300272
1115070a8164
1280099bb00
1342b216688
1424925c86c
15152310c4c
hexcd2d5570

3442300272 has 120 divisors (see below), whose sum is σ = 9939430800. Its totient is φ = 1111587840.

The previous prime is 3442300247. The next prime is 3442300297. The reversal of 3442300272 is 2720032443.

3442300272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3442300247) and next prime (3442300297).

It is a super-2 number, since 2×34423002722 = 23698862325222547968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585604 + ... + 591452.

It is an arithmetic number, because the mean of its divisors is an integer number (82828590).

Almost surely, 23442300272 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 3442300272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969715400).

3442300272 is an abundant number, since it is smaller than the sum of its proper divisors (6497130528).

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

3442300272 is a wasteful number, since it uses less digits than its factorization.

3442300272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5982 counting only the distinct ones).

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

The square root of 3442300272 is about 58671.1195734324. The cubic root of 3442300272 is about 1509.9048625059.

The spelling of 3442300272 in words is "three billion, four hundred forty-two million, three hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 67 72 122 134 144 183 201 244 268 366 402 488 536 549 603 732 804 976 1072 1098 1206 1464 1608 2196 2412 2928 3216 4087 4392 4824 5849 8174 8784 9648 11698 12261 16348 17547 23396 24522 32696 35094 36783 46792 49044 52641 65392 70188 73566 93584 98088 105282 140376 147132 196176 210564 280752 294264 356789 391883 421128 588528 713578 783766 842256 1070367 1175649 1427156 1567532 2140734 2351298 2854312 3135064 3211101 3526947 4281468 4702596 5708624 6270128 6422202 7053894 8562936 9405192 12844404 14107788 17125872 18810384 23904863 25688808 28215576 47809726 51377616 56431152 71714589 95619452 143429178 191238904 215143767 286858356 382477808 430287534 573716712 860575068 1147433424 1721150136 3442300272