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354243744 = 25321230013
BaseRepresentation
bin10101000111010…
…101010010100000
3220200120110001200
4111013111102200
51211141244434
655052401200
711531010411
oct2507252240
9820513050
10354243744
11171a63628
129a776200
13585109aa
1435093808
1521176199
hex151d54a0

354243744 has 36 divisors (see below), whose sum is σ = 1007381466. Its totient is φ = 118081152.

The previous prime is 354243713. The next prime is 354243749. The reversal of 354243744 is 447342453.

354243744 is a `hidden beast` number, since 3 + 542 + 43 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324432144 + 29811600 = 18012^2 + 5460^2 .

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

It is a super-3 number, since 3×3542437443 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354243699 and 354243708.

It is not an unprimeable number, because it can be changed into a prime (354243749) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 614719 + ... + 615294.

Almost surely, 2354243744 is an apocalyptic number.

It is an amenable number.

354243744 is an abundant number, since it is smaller than the sum of its proper divisors (653137722).

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

354243744 is a wasteful number, since it uses less digits than its factorization.

354243744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230029 (or 1230018 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 354243744 is about 18821.3640313342. The cubic root of 354243744 is about 707.5667175614.

The spelling of 354243744 in words is "three hundred fifty-four million, two hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1230013 2460026 3690039 4920052 7380078 9840104 11070117 14760156 19680208 22140234 29520312 39360416 44280468 59040624 88560936 118081248 177121872 354243744