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340301325 = 352721317419
BaseRepresentation
bin10100010010001…
…001011000001101
3212201100002122210
4110102021120031
51144104120300
653433501033
711301341100
oct2422113015
9781302583
10340301325
11165100471
1295b71779
135566b840
14332a4737
151ed20050
hex1448960d

340301325 has 144 divisors (see below), whose sum is σ = 748077120. Its totient is φ = 134830080.

The previous prime is 340301323. The next prime is 340301327. The reversal of 340301325 is 523103043.

It is an interprime number because it is at equal distance from previous prime (340301323) and next prime (340301327).

It is not a de Polignac number, because 340301325 - 21 = 340301323 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340301323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 811966 + ... + 812384.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2340301325 is an apocalyptic number.

340301325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

340301325 is an abundant number, since it is smaller than the sum of its proper divisors (407775795).

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

340301325 is a wasteful number, since it uses less digits than its factorization.

340301325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 340301325 is about 18447.2579263152. The cubic root of 340301325 is about 698.1593308190.

Adding to 340301325 its reverse (523103043), we get a palindrome (863404368).

The spelling of 340301325 in words is "three hundred forty million, three hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 13 15 17 21 25 35 39 49 51 65 75 85 91 105 119 147 175 195 221 245 255 273 325 357 419 425 455 525 595 637 663 735 833 975 1105 1225 1257 1275 1365 1547 1785 1911 2095 2275 2499 2933 2975 3185 3315 3675 4165 4641 5447 5525 6285 6825 7123 7735 8799 8925 9555 10475 10829 12495 14665 15925 16341 16575 20531 20825 21369 23205 27235 31425 32487 35615 38129 38675 43995 47775 49861 54145 61593 62475 73325 81705 92599 102655 106845 114387 116025 136175 149583 162435 178075 190645 219975 249305 266903 270725 277797 307965 349027 408525 462995 513275 534225 571935 648193 747915 800709 812175 953225 1047081 1246525 1334515 1388985 1539825 1745135 1944579 2314975 2859675 3240965 3739575 4003545 4537351 5235405 6672575 6944925 8725675 9722895 13612053 16204825 20017725 22686755 26177025 48614475 68060265 113433775 340301325