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1003440144 = 24372986429
BaseRepresentation
bin111011110011110…
…100100000010000
32120221011001002210
4323303310200100
54023340041034
6243323112120
733603046320
oct7363644020
92527131083
101003440144
11475463483
12240072640
1312cb72c85
14973a5280
155d1608e9
hex3bcf4810

1003440144 has 40 divisors (see below), whose sum is σ = 2962538560. Its totient is φ = 286697088.

The previous prime is 1003440143. The next prime is 1003440167. The reversal of 1003440144 is 4410443001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1003440144.

It is not an unprimeable number, because it can be changed into a prime (1003440143) 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, 1492879 + ... + 1493550.

It is an arithmetic number, because the mean of its divisors is an integer number (74063464).

Almost surely, 21003440144 is an apocalyptic number.

1003440144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1003440144 is an abundant number, since it is smaller than the sum of its proper divisors (1959098416).

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

1003440144 is a wasteful number, since it uses less digits than its factorization.

1003440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986447 (or 2986441 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1003440144 is about 31677.1233542441. The cubic root of 1003440144 is about 1001.1454022195.

Adding to 1003440144 its reverse (4410443001), we get a palindrome (5413883145).

The spelling of 1003440144 in words is "one billion, three million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2986429 5972858 8959287 11945716 17918574 20905003 23891432 35837148 41810006 47782864 62715009 71674296 83620012 125430018 143348592 167240024 250860036 334480048 501720072 1003440144