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1388223432 = 233243912
BaseRepresentation
bin101001010111110…
…1001101111001000
310120202012001112200
41102233221233020
510320341122212
6345430240200
746254463431
oct12257515710
93522161480
101388223432
116526858a2
12328ab6060
131917b73ab
14d2528488
1581d1a6dc
hex52be9bc8

1388223432 has 36 divisors (see below), whose sum is σ = 3760628235. Its totient is φ = 462635760.

The previous prime is 1388223413. The next prime is 1388223437. The reversal of 1388223432 is 2343228831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 694111716 + 694111716 = 26346^2 + 26346^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26346.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (1388223437) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 313957 + ... + 318347.

Almost surely, 21388223432 is an apocalyptic number.

1388223432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1388223432 is an abundant number, since it is smaller than the sum of its proper divisors (2372404803).

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

1388223432 is an frugal number, since it uses more digits than its factorization.

1388223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 4396 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1388223432 is about 37258.8705142816. The cubic root of 1388223432 is about 1115.5433634965.

The spelling of 1388223432 in words is "one billion, three hundred eighty-eight million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4391 8782 13173 17564 26346 35128 39519 52692 79038 105384 158076 316152 19280881 38561762 57842643 77123524 115685286 154247048 173527929 231370572 347055858 462741144 694111716 1388223432