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1134390240 = 25325787771
BaseRepresentation
bin100001110011101…
…0110101111100000
32221001112222212100
41003213112233200
54310400441430
6304321530400
740053105114
oct10347265740
92831488770
101134390240
115323741a5
12277aa3a00
13151032039
14aa931744
15698ca960
hex439d6be0

1134390240 has 72 divisors (see below), whose sum is σ = 3871111608. Its totient is φ = 302503680.

The previous prime is 1134390211. The next prime is 1134390251. The reversal of 1134390240 is 420934311.

1134390240 is a `hidden beast` number, since 1 + 1 + 34 + 390 + 240 = 666.

1134390240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392446 + ... + 395325.

It is an arithmetic number, because the mean of its divisors is an integer number (53765439).

Almost surely, 21134390240 is an apocalyptic number.

1134390240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134390240 is an abundant number, since it is smaller than the sum of its proper divisors (2736721368).

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

1134390240 is a wasteful number, since it uses less digits than its factorization.

1134390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787792 (or 787781 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1134390240 is about 33680.7102062887. The cubic root of 1134390240 is about 1042.9275992037.

The spelling of 1134390240 in words is "one billion, one hundred thirty-four million, three hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 787771 1575542 2363313 3151084 3938855 4726626 6302168 7089939 7877710 9453252 11816565 12604336 14179878 15755420 18906504 23633130 25208672 28359756 31510840 35449695 37813008 47266260 56719512 63021680 70899390 75626016 94532520 113439024 126043360 141798780 189065040 226878048 283597560 378130080 567195120 1134390240