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340408425 = 35271743887
BaseRepresentation
bin10100010010100…
…011100001101001
3212201112112120110
4110102203201221
51144121032200
653440044533
711302265250
oct2422434151
9781475513
10340408425
11165173985
1296003749
13556a8506
14332d1797
151ed41b50
hex144a3869

340408425 has 96 divisors (see below), whose sum is σ = 697669632. Its totient is φ = 142894080.

The previous prime is 340408423. The next prime is 340408429. The reversal of 340408425 is 524804043.

It is not a de Polignac number, because 340408425 - 21 = 340408423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 340408392 and 340408401.

It is not an unprimeable number, because it can be changed into a prime (340408423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383332 + ... + 384218.

It is an arithmetic number, because the mean of its divisors is an integer number (7267392).

Almost surely, 2340408425 is an apocalyptic number.

340408425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

340408425 is an abundant number, since it is smaller than the sum of its proper divisors (357261207).

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

340408425 is a wasteful number, since it uses less digits than its factorization.

340408425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 340408425 is about 18450.1605684070. The cubic root of 340408425 is about 698.2325649559.

The spelling of 340408425 in words is "three hundred forty million, four hundred eight thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 43 51 75 85 105 119 129 175 215 255 301 357 425 525 595 645 731 887 903 1075 1275 1505 1785 2193 2661 2975 3225 3655 4435 4515 5117 6209 7525 8925 10965 13305 15079 15351 18275 18627 22175 22575 25585 31045 38141 45237 54825 66525 75395 76755 93135 105553 114423 127925 155225 190705 226185 266987 316659 376975 383775 465675 527765 572115 648397 800961 953525 1130925 1334935 1583295 1945191 2638825 2860575 3241985 4004805 4538779 6674675 7916475 9725955 13616337 16209925 20024025 22693895 48629775 68081685 113469475 340408425