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3438340817 = 23593177993
BaseRepresentation
bin1100110011110000…
…1110101011010001
322212121211210220012
43030330032223101
524020203401232
61325103324305
7151130262152
oct31474165321
98777753805
103438340817
11150494338a
127bb5b0695
1342a45b3c2
1424890b929
15151ccc9b2
hexccf0ead1

3438340817 has 16 divisors (see below), whose sum is σ = 3660612480. Its totient is φ = 3222502272.

The previous prime is 3438340793. The next prime is 3438340849. The reversal of 3438340817 is 7180438343.

It is a cyclic number.

It is not a de Polignac number, because 3438340817 - 28 = 3438340561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3438340877) 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 15 ways as a sum of consecutive naturals, for example, 426173 + ... + 434165.

It is an arithmetic number, because the mean of its divisors is an integer number (228788280).

Almost surely, 23438340817 is an apocalyptic number.

It is an amenable number.

3438340817 is a deficient number, since it is larger than the sum of its proper divisors (222271663).

3438340817 is a wasteful number, since it uses less digits than its factorization.

3438340817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392.

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 3438340817 is about 58637.3670708363. The cubic root of 3438340817 is about 1509.3257251521.

The spelling of 3438340817 in words is "three billion, four hundred thirty-eight million, three hundred forty thousand, eight hundred seventeen".

Divisors: 1 23 59 317 1357 7291 7993 18703 183839 430169 471587 2533781 10846501 58276963 149493079 3438340817