Search a number
-
+
301341342440 = 235174124114483
BaseRepresentation
bin1000110001010010101…
…01111111101011101000
31001210210222220021122202
410120221111333223220
514414121340424230
6350233450435332
730525343101605
oct4305125775350
91053728807582
10301341342440
11106886371776
124a49a732b48
13225549b0468
14108293456ac
157c8a318a45
hex462957fae8

301341342440 has 128 divisors (see below), whose sum is σ = 735880360320. Its totient is φ = 110608588800.

The previous prime is 301341342413. The next prime is 301341342499. The reversal of 301341342440 is 44243143103.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67216439 + ... + 67220921.

It is an arithmetic number, because the mean of its divisors is an integer number (5749065315).

Almost surely, 2301341342440 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 301341342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367940180160).

301341342440 is an abundant number, since it is smaller than the sum of its proper divisors (434539017880).

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

301341342440 is a wasteful number, since it uses less digits than its factorization.

301341342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 301341342440 its reverse (44243143103), we get a palindrome (345584485543).

The spelling of 301341342440 in words is "three hundred one billion, three hundred forty-one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2411 2788 3485 4483 4822 5576 6970 8966 9644 12055 13940 17932 19288 22415 24110 27880 35864 40987 44830 48220 76211 81974 89660 96440 98851 152422 163948 179320 183803 197702 204935 304844 327896 367606 381055 395404 409870 494255 609688 735212 762110 790808 819740 919015 988510 1470424 1524220 1639480 1680467 1838030 1977020 3048440 3124651 3360934 3676060 3954040 6249302 6721868 7352120 8402335 10808513 12498604 13443736 15623255 16804670 21617026 24997208 31246510 33609340 43234052 54042565 62493020 67218680 86468104 108085130 124986040 183744721 216170260 367489442 432340520 443149033 734978884 886298066 918723605 1469957768 1772596132 1837447210 2215745165 3545192264 3674894420 4431490330 7349788840 7533533561 8862980660 15067067122 17725961320 30134134244 37667667805 60268268488 75335335610 150670671220 301341342440