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2352520240 = 245713013229
BaseRepresentation
bin1000110000111000…
…1001110000110000
320001221200102002021
42030032021300300
514304221121430
61025234401224
7112204043410
oct21416116060
96057612067
102352520240
11aa7a33304
12557a30214
132b6503715
14184620640
15db7e807a
hex8c389c30

2352520240 has 80 divisors (see below), whose sum is σ = 6257724480. Its totient is φ = 805708800.

The previous prime is 2352520229. The next prime is 2352520241. The reversal of 2352520240 is 420252532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2352520241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726946 + ... + 730174.

It is an arithmetic number, because the mean of its divisors is an integer number (78221556).

Almost surely, 22352520240 is an apocalyptic number.

2352520240 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 2352520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128862240).

2352520240 is an abundant number, since it is smaller than the sum of its proper divisors (3905204240).

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

2352520240 is a wasteful number, since it uses less digits than its factorization.

2352520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2352520240 is about 48502.7858993687. The cubic root of 2352520240 is about 1329.9779972616.

Adding to 2352520240 its reverse (420252532), we get a palindrome (2772772772).

The spelling of 2352520240 in words is "two billion, three hundred fifty-two million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1301 2602 3229 5204 6458 6505 9107 10408 12916 13010 16145 18214 20816 22603 25832 26020 32290 36428 45206 45535 51664 52040 64580 72856 90412 91070 104080 113015 129160 145712 180824 182140 226030 258320 361648 364280 452060 728560 904120 1808240 4200929 8401858 16803716 21004645 29406503 33607432 42009290 58813006 67214864 84018580 117626012 147032515 168037160 235252024 294065030 336074320 470504048 588130060 1176260120 2352520240