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1342177280 = 2285
BaseRepresentation
bin101000000000000…
…0000000000000000
310110112112200002122
41100000000000000
510222044133110
6341103303412
745155214203
oct12000000000
93415480078
101342177280
11629695724
123155aab68
131850b4852
14ca37d93a
157cc72255
hex50000000

1342177280 has 58 divisors (see below), whose sum is σ = 3221225466. Its totient is φ = 536870912.

The previous prime is 1342177237. The next prime is 1342177283. The reversal of 1342177280 is 827712431.

It can be written as a sum of positive squares in only one way, i.e., 1073741824 + 268435456 = 32768^2 + 16384^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1342177280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342177283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 1342177280 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268435454 + ... + 268435458.

Almost surely, 21342177280 is an apocalyptic number.

1342177280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610612733).

1342177280 is an abundant number, since it is smaller than the sum of its proper divisors (1879048186).

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

1342177280 is an frugal number, since it uses more digits than its factorization.

1342177280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 1342177280 is about 36635.7377433566. The cubic root of 1342177280 is about 1103.0705612963.

The spelling of 1342177280 in words is "one billion, three hundred forty-two million, one hundred seventy-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 65536 81920 131072 163840 262144 327680 524288 655360 1048576 1310720 2097152 2621440 4194304 5242880 8388608 10485760 16777216 20971520 33554432 41943040 67108864 83886080 134217728 167772160 268435456 335544320 671088640 1342177280