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3416991444 = 2232659144031
BaseRepresentation
bin1100101110101011…
…0010011011010100
322211010200011001200
43023222302123110
523444222211234
61323021552500
7150450643116
oct31352623324
98733604050
103416991444
1114a3891279
127b4415730
13425bc4a39
14245b513b6
1514eeb1d99
hexcbab26d4

3416991444 has 36 divisors (see below), whose sum is σ = 8650561920. Its totient is φ = 1137260880.

The previous prime is 3416991437. The next prime is 3416991451. The reversal of 3416991444 is 4441996143.

3416991444 is a `hidden beast` number, since 3 + 416 + 99 + 144 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3416991437) and next prime (3416991451).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3416991444.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48292 + ... + 95739.

Almost surely, 23416991444 is an apocalyptic number.

It is an amenable number.

3416991444 is an abundant number, since it is smaller than the sum of its proper divisors (5233570476).

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

3416991444 is a wasteful number, since it uses less digits than its factorization.

3416991444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144700 (or 144695 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3416991444 is about 58455.0377982942. The cubic root of 3416991444 is about 1506.1953313515.

The spelling of 3416991444 in words is "three billion, four hundred sixteen million, nine hundred ninety-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 659 1318 1977 2636 3954 5931 7908 11862 23724 144031 288062 432093 576124 864186 1296279 1728372 2592558 5185116 94916429 189832858 284749287 379665716 569498574 854247861 1138997148 1708495722 3416991444