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744160040 = 235131784181
BaseRepresentation
bin101100010110101…
…111101100101000
31220212021020122222
4230112233230220
53011001110130
6201501533212
724304153541
oct5426575450
91825236588
10744160040
113520714a8
12189274208
13bb2315b0
1470b914c8
15454e6ce5
hex2c5afb28

744160040 has 64 divisors (see below), whose sum is σ = 1909247760. Its totient is φ = 258600960.

The previous prime is 744160007. The next prime is 744160051. The reversal of 744160040 is 40061447.

It can be written as a sum of positive squares in 8 ways, for example, as 545969956 + 198190084 = 23366^2 + 14078^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 744159991 and 744160009.

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, 33251 + ... + 50930.

Almost surely, 2744160040 is an apocalyptic number.

It is an amenable number.

744160040 is an abundant number, since it is smaller than the sum of its proper divisors (1165087720).

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

744160040 is a wasteful number, since it uses less digits than its factorization.

744160040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84222 (or 84218 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 744160040 is about 27279.2969117608. The cubic root of 744160040 is about 906.1959464233.

The spelling of 744160040 in words is "seven hundred forty-four million, one hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 84181 168362 336724 420905 673448 841810 1094353 1431077 1683620 2188706 2862154 3367240 4377412 5471765 5724308 7155385 8754824 10943530 11448616 14310770 18604001 21887060 28621540 37208002 43774120 57243080 74416004 93020005 148832008 186040010 372080020 744160040