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3201340422 = 237323471439
BaseRepresentation
bin1011111011010000…
…1001010000000110
322021002212221110210
42332310021100012
523024020343142
61245355500250
7142221642000
oct27664112006
98232787423
103201340422
1113a3089495
12754157686
133c031a997
14225257370
1513b0b549c
hexbed09406

3201340422 has 128 divisors (see below), whose sum is σ = 7962624000. Its totient is φ = 855690528.

The previous prime is 3201340379. The next prime is 3201340427. The reversal of 3201340422 is 2240431023.

It is a super-2 number, since 2×32013404222 = 20497160995062276168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201340427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2223979 + ... + 2225417.

It is an arithmetic number, because the mean of its divisors is an integer number (62208000).

Almost surely, 23201340422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201340422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981312000).

3201340422 is an abundant number, since it is smaller than the sum of its proper divisors (4761283578).

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

3201340422 is a wasteful number, since it uses less digits than its factorization.

3201340422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3201340422 is about 56580.3890230529. The cubic root of 3201340422 is about 1473.8183272698.

Adding to 3201340422 its reverse (2240431023), we get a palindrome (5441771445).

The spelling of 3201340422 in words is "three billion, two hundred one million, three hundred forty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 49 69 94 98 138 141 147 161 282 294 322 329 343 483 658 686 966 987 1029 1081 1127 1439 1974 2058 2162 2254 2303 2878 3243 3381 4317 4606 6486 6762 6909 7567 7889 8634 10073 13818 15134 15778 16121 20146 22701 23667 30219 32242 33097 45402 47334 48363 52969 60438 66194 67633 70511 96726 99291 105938 135266 141022 158907 198582 202899 211533 231679 317814 370783 405798 423066 463358 473431 493577 695037 741566 946862 987154 1112349 1390074 1420293 1480731 1555559 1621753 2224698 2840586 2961462 3111118 3243506 3314017 4666677 4865259 6628034 9333354 9730518 9942051 10888913 11352271 19884102 21777826 22704542 23198119 32666739 34056813 46396238 65333478 68113626 69594357 76222391 139188714 152444782 228667173 457334346 533556737 1067113474 1600670211 3201340422