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2342210240 = 26554713381
BaseRepresentation
bin1000101110011011…
…0100101011000000
320001020021121102102
42023212310223000
514244101211430
61024225405532
7112020313166
oct21346645300
96036247372
102342210240
11aa2131247
125544998a8
132b4333a26
141830d9236
15da95d345
hex8b9b4ac0

2342210240 has 56 divisors (see below), whose sum is σ = 5588002032. Its totient is φ = 935101440.

The previous prime is 2342210231. The next prime is 2342210243. The reversal of 2342210240 is 420122432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2342210243) 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, 168350 + ... + 181730.

Almost surely, 22342210240 is an apocalyptic number.

2342210240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794001016).

2342210240 is an abundant number, since it is smaller than the sum of its proper divisors (3245791792).

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

2342210240 is a wasteful number, since it uses less digits than its factorization.

2342210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13945 (or 13935 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2342210240 is about 48396.3866419798. The cubic root of 2342210240 is about 1328.0322607927.

Adding to 2342210240 its reverse (420122432), we get a palindrome (2762332672).

The spelling of 2342210240 in words is "two billion, three hundred forty-two million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 547 1094 2188 2735 4376 5470 8752 10940 13381 17504 21880 26762 35008 43760 53524 66905 87520 107048 133810 175040 214096 267620 428192 535240 856384 1070480 2140960 4281920 7319407 14638814 29277628 36597035 58555256 73194070 117110512 146388140 234221024 292776280 468442048 585552560 1171105120 2342210240