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3442340340 = 22325831032237
BaseRepresentation
bin1100110100101101…
…1111000111110100
322212220101000012200
43031023133013310
524022214342330
61325325144500
7151206260445
oct31513370764
98786330180
103442340340
11150712527a
128009bb130
1342b22b99a
1424926d2cc
1515231ca60
hexcd2df1f4

3442340340 has 144 divisors (see below), whose sum is σ = 10674937728. Its totient is φ = 897691392.

The previous prime is 3442340329. The next prime is 3442340351. The reversal of 3442340340 is 430432443.

It is an interprime number because it is at equal distance from previous prime (3442340329) and next prime (3442340351).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537702 + ... + 1539938.

It is an arithmetic number, because the mean of its divisors is an integer number (74131512).

Almost surely, 23442340340 is an apocalyptic number.

3442340340 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 3442340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337468864).

3442340340 is an abundant number, since it is smaller than the sum of its proper divisors (7232597388).

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

3442340340 is a wasteful number, since it uses less digits than its factorization.

3442340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3442340340 is about 58671.4610351575. The cubic root of 3442340340 is about 1509.9107208592.

Adding to 3442340340 its reverse (430432443), we get a palindrome (3872772783).

The spelling of 3442340340 in words is "three billion, four hundred forty-two million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 103 166 180 206 249 309 332 412 415 498 515 618 747 830 927 996 1030 1236 1245 1494 1545 1660 1854 2060 2237 2490 2988 3090 3708 3735 4474 4635 4980 6180 6711 7470 8549 8948 9270 11185 13422 14940 17098 18540 20133 22370 25647 26844 33555 34196 40266 42745 44740 51294 67110 76941 80532 85490 100665 102588 128235 134220 153882 170980 185671 201330 230411 256470 307764 371342 384705 402660 460822 512940 557013 691233 742684 769410 921644 928355 1114026 1152055 1382466 1538820 1671039 1856710 2073699 2228052 2304110 2764932 2785065 3342078 3456165 3713420 4147398 4608220 5570130 6684156 6912330 8294796 8355195 10368495 11140260 13824660 16710390 19124113 20736990 33420780 38248226 41473980 57372339 76496452 95620565 114744678 172117017 191241130 229489356 286861695 344234034 382482260 573723390 688468068 860585085 1147446780 1721170170 3442340340