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16440372 = 22321335129
BaseRepresentation
bin111110101101…
…110000110100
31010221020221200
4332231300310
513202042442
61344212500
7256512054
oct76556064
933836850
1016440372
119309993
12560a130
133538140
14227d564
15169b34c
hexfadc34

16440372 has 36 divisors (see below), whose sum is σ = 44755620. Its totient is φ = 5058432.

The previous prime is 16440353. The next prime is 16440373. The reversal of 16440372 is 27304461.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 14791716 = 1284^2 + 3846^2 .

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

It is a super-3 number, since 3×164403723 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16440373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17097 + ... + 18032.

Almost surely, 216440372 is an apocalyptic number.

16440372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16440372 is an abundant number, since it is smaller than the sum of its proper divisors (28315248).

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

16440372 is a wasteful number, since it uses less digits than its factorization.

16440372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35152 (or 35147 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 16440372 is about 4054.6728598002. The cubic root of 16440372 is about 254.2751270984.

The spelling of 16440372 in words is "sixteen million, four hundred forty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 35129 70258 105387 140516 210774 316161 421548 456677 632322 913354 1264644 1370031 1826708 2740062 4110093 5480124 8220186 16440372