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3414957343 = 721914992447
BaseRepresentation
bin1100101110001100…
…0001110100011111
322210222211210210121
43023203001310133
523443212113333
61322510215411
7150424441600
oct31343016437
98728753717
103414957343
1114a2721aa6
127b37b4567
13425661c25
14245781da7
1514ec0e32d
hexcb8c1d1f

3414957343 has 24 divisors (see below), whose sum is σ = 4186080000. Its totient is φ = 2770065648.

The previous prime is 3414957319. The next prime is 3414957493. The reversal of 3414957343 is 3437594143.

It is a de Polignac number, because none of the positive numbers 2k-3414957343 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3414957343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414957043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394346 + ... + 1396792.

It is an arithmetic number, because the mean of its divisors is an integer number (174420000).

Almost surely, 23414957343 is an apocalyptic number.

3414957343 is a deficient number, since it is larger than the sum of its proper divisors (771122657).

3414957343 is a wasteful number, since it uses less digits than its factorization.

3414957343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3972 counting only the distinct ones).

The product of its digits is 544320, while the sum is 43.

The square root of 3414957343 is about 58437.6363570602. The cubic root of 3414957343 is about 1505.8963976626.

The spelling of 3414957343 in words is "three billion, four hundred fourteen million, nine hundred fifty-seven thousand, three hundred forty-three".

Divisors: 1 7 19 49 133 931 1499 2447 10493 17129 28481 46493 73451 119903 199367 325451 1395569 2278157 3668053 25676371 69693007 179734597 487851049 3414957343