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1045440240 = 243513335077
BaseRepresentation
bin111110010100000…
…010011011110000
32200212011212101220
4332110002123300
54120113041430
6251423225040
734623044505
oct7624023360
92625155356
101045440240
1149713a7a9
12252148180
13138789cc0
149cbb94ac
1561baa110
hex3e5026f0

1045440240 has 80 divisors (see below), whose sum is σ = 3490172448. Its totient is φ = 257338368.

The previous prime is 1045440233. The next prime is 1045440257. The reversal of 1045440240 is 420445401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10454402402 = 2185890590822515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1045440240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164419 + ... + 170658.

Almost surely, 21045440240 is an apocalyptic number.

1045440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045440240 is an abundant number, since it is smaller than the sum of its proper divisors (2444732208).

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

1045440240 is a wasteful number, since it uses less digits than its factorization.

1045440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335106 (or 335100 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1045440240 is about 32333.2683160858. The cubic root of 1045440240 is about 1014.9229446385.

Adding to 1045440240 its reverse (420445401), we get a palindrome (1465885641).

It can be divided in two parts, 1045440 and 240, that multiplied together give a square (250905600 = 158402).

The spelling of 1045440240 in words is "one billion, forty-five million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 335077 670154 1005231 1340308 1675385 2010462 2680616 3350770 4020924 4356001 5026155 5361232 6701540 8041848 8712002 10052310 13068003 13403080 16083696 17424004 20104620 21780005 26136006 26806160 34848008 40209240 43560010 52272012 65340015 69696016 80418480 87120020 104544024 130680030 174240040 209088048 261360060 348480080 522720120 1045440240