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1345177640 = 235201716673
BaseRepresentation
bin101000000101101…
…1100100000101000
310110202012002211002
41100023130200220
510223331141030
6341251454132
745222551462
oct12013344050
93422162732
101345177640
11630354964
123165b7348
131858c5401
14ca921132
157d166245
hex502dc828

1345177640 has 32 divisors (see below), whose sum is σ = 3028331880. Its totient is φ = 537772032.

The previous prime is 1345177591. The next prime is 1345177657. The reversal of 1345177640 is 467715431.

It can be written as a sum of positive squares in 4 ways, for example, as 1344982276 + 195364 = 36674^2 + 442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1345177594 and 1345177603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72344 + ... + 89016.

Almost surely, 21345177640 is an apocalyptic number.

1345177640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345177640 is an abundant number, since it is smaller than the sum of its proper divisors (1683154240).

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

1345177640 is a wasteful number, since it uses less digits than its factorization.

1345177640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18701 (or 18697 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 1345177640 is about 36676.6634251263. The cubic root of 1345177640 is about 1103.8918998160.

The spelling of 1345177640 in words is "one billion, three hundred forty-five million, one hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2017 4034 8068 10085 16136 16673 20170 33346 40340 66692 80680 83365 133384 166730 333460 666920 33629441 67258882 134517764 168147205 269035528 336294410 672588820 1345177640