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3742438080 = 26353898373
BaseRepresentation
bin1101111100010001…
…0001001011000000
3100122211001112220210
43133010101023000
530131031004310
61415205234120
7161512125123
oct33704211300
910584045823
103742438080
111650566137
12885402940
13478462104
1427706a3ba
1516d84a820
hexdf1112c0

3742438080 has 56 divisors (see below), whose sum is σ = 11882243952. Its totient is φ = 997983232.

The previous prime is 3742438069. The next prime is 3742438087. The reversal of 3742438080 is 808342473.

It is not an unprimeable number, because it can be changed into a prime (3742438087) 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, 1948227 + ... + 1950146.

Almost surely, 23742438080 is an apocalyptic number.

3742438080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3742438080 is an abundant number, since it is smaller than the sum of its proper divisors (8139805872).

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

3742438080 is a wasteful number, since it uses less digits than its factorization.

3742438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898393 (or 3898383 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 3742438080 is about 61175.4695936206. The cubic root of 3742438080 is about 1552.5712549723.

The spelling of 3742438080 in words is "three billion, seven hundred forty-two million, four hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3898373 7796746 11695119 15593492 19491865 23390238 31186984 38983730 46780476 58475595 62373968 77967460 93560952 116951190 124747936 155934920 187121904 233902380 249495872 311869840 374243808 467804760 623739680 748487616 935609520 1247479360 1871219040 3742438080