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1334444940 = 223257413583
BaseRepresentation
bin100111110001010…
…0000001110001100
310102222222211022200
41033202200032030
510213104214230
6340225441500
745032411013
oct11742401614
93388884280
101334444940
11625294264
12312aa0290
131836081ba
14c9329a7a
157c246160
hex4f8a038c

1334444940 has 36 divisors (see below), whose sum is σ = 4047816864. Its totient is φ = 355851936.

The previous prime is 1334444927. The next prime is 1334444953. The reversal of 1334444940 is 494444331.

1334444940 is a `hidden beast` number, since 133 + 44 + 449 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1334444927) and next prime (1334444953).

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

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 = 1334444895 and 1334444904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3706612 + ... + 3706971.

Almost surely, 21334444940 is an apocalyptic number.

1334444940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334444940 is an abundant number, since it is smaller than the sum of its proper divisors (2713371924).

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

1334444940 is a wasteful number, since it uses less digits than its factorization.

1334444940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413598 (or 7413593 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1334444940 is about 36530.0552969743. The cubic root of 1334444940 is about 1100.9482016976.

It can be divided in two parts, 133444 and 4940, that added together give a square (138384 = 3722).

The spelling of 1334444940 in words is "one billion, three hundred thirty-four million, four hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7413583 14827166 22240749 29654332 37067915 44481498 66722247 74135830 88962996 111203745 133444494 148271660 222407490 266888988 333611235 444814980 667222470 1334444940