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3398001376 = 257112283443
BaseRepresentation
bin1100101010001001…
…0110001011100000
322202210221100120211
43022202112023200
523424342021001
61321102543504
7150130351360
oct31242261340
98683840524
103398001376
1114940a0800
127a9b97b94
13421ca6203
1424340a9a0
1514d4b0351
hexca8962e0

3398001376 has 144 divisors (see below), whose sum is σ = 8452467072. Its totient is φ = 1316240640.

The previous prime is 3398001319. The next prime is 3398001377. The reversal of 3398001376 is 6731008933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3398001377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7670211 + ... + 7670653.

It is an arithmetic number, because the mean of its divisors is an integer number (58697688).

Almost surely, 23398001376 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 3398001376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226233536).

3398001376 is an abundant number, since it is smaller than the sum of its proper divisors (5054465696).

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

3398001376 is a wasteful number, since it uses less digits than its factorization.

3398001376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 3398001376 is about 58292.3783697320. The cubic root of 3398001376 is about 1503.3998992271.

The spelling of 3398001376 in words is "three billion, three hundred ninety-eight million, one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 283 308 352 443 484 566 616 847 886 968 1132 1232 1694 1772 1936 1981 2264 2464 3101 3113 3388 3544 3872 3962 4528 4873 6202 6226 6776 7088 7924 9056 9746 12404 12452 13552 14176 15848 19492 21791 24808 24904 27104 31696 34111 34243 38984 43582 49616 49808 53603 63392 68222 68486 77968 87164 99232 99616 107206 125369 136444 136972 155936 174328 214412 239701 250738 272888 273944 348656 375221 428824 479402 501476 545776 547888 697312 750442 857648 877583 958804 1002952 1091552 1095776 1379059 1500884 1715296 1755166 1917608 2005904 2758118 3001768 3510332 3835216 4011808 5516236 6003536 7020664 7670432 9653413 11032472 12007072 14041328 15169649 19306826 22064944 28082656 30339298 38613652 44129888 60678596 77227304 106187543 121357192 154454608 212375086 242714384 308909216 424750172 485428768 849500344 1699000688 3398001376