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3193414093 = 2337109173199
BaseRepresentation
bin1011111001010111…
…1010000111001101
322020112222020121001
42332111322013031
523020003222333
61244513540301
7142064400112
oct27625720715
98215866531
103193414093
111399665301
12751574691
133bb7a3c4c
14224192909
1513a54bb7d
hexbe57a1cd

3193414093 has 32 divisors (see below), whose sum is σ = 3491136000. Its totient is φ = 2913014016.

The previous prime is 3193414087. The next prime is 3193414153. The reversal of 3193414093 is 3904143913.

It is a 4-Lehmer number, since φ(3193414093) divides (3193414093-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 3193414093 - 217 = 3193283021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R3193414092.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3193414033) 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 31 ways as a sum of consecutive naturals, for example, 16047208 + ... + 16047406.

It is an arithmetic number, because the mean of its divisors is an integer number (109098000).

It is a Poulet number, since it divides 23193414092-1.

Almost surely, 23193414093 is an apocalyptic number.

It is an amenable number.

3193414093 is a deficient number, since it is larger than the sum of its proper divisors (297721907).

3193414093 is a wasteful number, since it uses less digits than its factorization.

3193414093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 3193414093 is about 56510.3007689749. The cubic root of 3193414093 is about 1472.6009597531.

The spelling of 3193414093 in words is "three billion, one hundred ninety-three million, four hundred fourteen thousand, ninety-three".

Divisors: 1 23 37 109 173 199 851 2507 3979 4033 4577 6401 7363 18857 21691 34427 92759 147223 169349 433711 498893 697709 791821 802567 1273799 3752543 16047307 18459041 29297377 86308489 138844091 3193414093