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144690432 = 283293643
BaseRepresentation
bin10001001111111…
…00110100000000
3101002021000221220
420213330310000
5244020043212
622205115040
73404563665
oct1047746400
9332230856
10144690432
1174746077
1240558a80
1323c90253
1415305a6c
15ca8138c
hex89fcd00

144690432 has 72 divisors (see below), whose sum is σ = 387002784. Its totient is φ = 47990784.

The previous prime is 144690421. The next prime is 144690433. The reversal of 144690432 is 234096441.

It is a super-2 number, since 2×1446904322 = 41870642224693248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144690393 and 144690402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144690433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224703 + ... + 225345.

Almost surely, 2144690432 is an apocalyptic number.

144690432 is a gapful number since it is divisible by the number (12) 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 144690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193501392).

144690432 is an abundant number, since it is smaller than the sum of its proper divisors (242312352).

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

144690432 is an equidigital number, since it uses as much as digits as its factorization.

144690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 144690432 is about 12028.7335991783. The cubic root of 144690432 is about 524.9846489842.

The spelling of 144690432 in words is "one hundred forty-four million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 586 643 768 879 1172 1286 1758 1929 2344 2572 3516 3858 4688 5144 7032 7716 9376 10288 14064 15432 18752 20576 28128 30864 37504 41152 56256 61728 75008 82304 112512 123456 164608 188399 225024 246912 376798 493824 565197 753596 1130394 1507192 2260788 3014384 4521576 6028768 9043152 12057536 18086304 24115072 36172608 48230144 72345216 144690432