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4006967341 = 13312437459
BaseRepresentation
bin1110111011010101…
…0111100000101101
3101100020211000211211
43232311113200231
531201240423331
61501335114421
7201203442346
oct35665274055
911306730754
104006967341
111776912963
12939b12a11
134bb1c0ac0
142a02490cd
15186b9e8b1
hexeed5782d

4006967341 has 24 divisors (see below), whose sum is σ = 4563192480. Its totient is φ = 3495713760.

The previous prime is 4006967233. The next prime is 4006967383. The reversal of 4006967341 is 1437696004.

It is not a de Polignac number, because 4006967341 - 221 = 4004870189 is a prime.

It is a super-2 number, since 2×40069673412 = 32111574543681220562, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4006967294 and 4006967303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006965341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533470 + ... + 540928.

It is an arithmetic number, because the mean of its divisors is an integer number (190133020).

Almost surely, 24006967341 is an apocalyptic number.

It is an amenable number.

4006967341 is a deficient number, since it is larger than the sum of its proper divisors (556225139).

4006967341 is a wasteful number, since it uses less digits than its factorization.

4006967341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 4006967341 is about 63300.6109054249. The cubic root of 4006967341 is about 1588.3221810594.

The spelling of 4006967341 in words is "four billion, six million, nine hundred sixty-seven thousand, three hundred forty-one".

Divisors: 1 13 31 43 403 559 961 1333 7459 12493 17329 41323 96967 231229 320737 537199 3005977 4169581 7168099 9942847 93185287 129257011 308228257 4006967341