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2400134320 = 245283106013
BaseRepresentation
bin1000111100001111…
…0010010010110000
320012021021110022201
42033003302102300
514403413244240
61034055112544
7113322543103
oct21703622260
96167243281
102400134320
1110218a4491
1256b972754
132c3334b2c
1418aa9673a
15e0aa0d9a
hex8f0f24b0

2400134320 has 40 divisors (see below), whose sum is σ = 5600083536. Its totient is φ = 956652288.

The previous prime is 2400134287. The next prime is 2400134327. The reversal of 2400134320 is 234310042.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2400134327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30367 + ... + 75646.

Almost surely, 22400134320 is an apocalyptic number.

2400134320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400134320 is an abundant number, since it is smaller than the sum of its proper divisors (3199949216).

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

2400134320 is a wasteful number, since it uses less digits than its factorization.

2400134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106309 (or 106303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2400134320 is about 48991.1657342423. The cubic root of 2400134320 is about 1338.8908769856.

Adding to 2400134320 its reverse (234310042), we get a palindrome (2634444362).

The spelling of 2400134320 in words is "two billion, four hundred million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283 566 1132 1415 2264 2830 4528 5660 11320 22640 106013 212026 424052 530065 848104 1060130 1696208 2120260 4240520 8481040 30001679 60003358 120006716 150008395 240013432 300016790 480026864 600033580 1200067160 2400134320