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3364449160 = 235280130029
BaseRepresentation
bin1100100010001001…
…0110101110001000
322200110210201121011
43020202112232020
523342244333120
61313503453304
7146242226452
oct31042265610
98613721534
103364449160
1114771644a6
1279a8b7234
13418059427
1423cb952d2
1514a583c5a
hexc8896b88

3364449160 has 32 divisors (see below), whose sum is σ = 7572965400. Its totient is φ = 1345254400.

The previous prime is 3364449157. The next prime is 3364449163. The reversal of 3364449160 is 619444633.

It is an interprime number because it is at equal distance from previous prime (3364449157) and next prime (3364449163).

It can be written as a sum of positive squares in 4 ways, for example, as 3313383844 + 51065316 = 57562^2 + 7146^2 .

It is a super-2 number, since 2×33644491602 = 22639036300449411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3364449163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97026 + ... + 127054.

Almost surely, 23364449160 is an apocalyptic number.

It is an amenable number.

3364449160 is an abundant number, since it is smaller than the sum of its proper divisors (4208516240).

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

3364449160 is a wasteful number, since it uses less digits than its factorization.

3364449160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32841 (or 32837 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 3364449160 is about 58003.8719397249. The cubic root of 3364449160 is about 1498.4352809296.

The spelling of 3364449160 in words is "three billion, three hundred sixty-four million, four hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2801 5602 11204 14005 22408 28010 30029 56020 60058 112040 120116 150145 240232 300290 600580 1201160 84111229 168222458 336444916 420556145 672889832 841112290 1682224580 3364449160