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240303213234 = 232744916972503
BaseRepresentation
bin1101111111001100110…
…0000000101010110010
3211222021010220001100200
43133303030000222302
512414120110310414
6302221015500030
723234636416260
oct3376314005262
9758233801320
10240303213234
1192a03998897
123a6a5087616
1319878155c46
14b8b8a5b430
1563b68a2109
hex37f3300ab2

240303213234 has 96 divisors (see below), whose sum is σ = 596951596800. Its totient is φ = 68437426176.

The previous prime is 240303213197. The next prime is 240303213257. The reversal of 240303213234 is 432312303042.

240303213234 is a `hidden beast` number, since 2 + 403 + 0 + 3 + 21 + 3 + 234 = 666.

240303213234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240303213198 and 240303213207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96004827 + ... + 96007329.

It is an arithmetic number, because the mean of its divisors is an integer number (6218245800).

Almost surely, 2240303213234 is an apocalyptic number.

240303213234 is an abundant number, since it is smaller than the sum of its proper divisors (356648383566).

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

240303213234 is a wasteful number, since it uses less digits than its factorization.

240303213234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 240303213234 its reverse (432312303042), we get a palindrome (672615516276).

The spelling of 240303213234 in words is "two hundred forty billion, three hundred three million, two hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 449 898 1347 1697 2503 2694 3143 3394 4041 5006 5091 6286 7509 8082 9429 10182 11879 15018 15273 17521 18858 22527 23758 28287 30546 35042 35637 45054 52563 56574 71274 105126 106911 157689 213822 315378 761953 1123847 1523906 2247694 2285859 3371541 4247591 4571718 5333671 6743082 6857577 7866929 8495182 10114623 10667342 12742773 13715154 15733858 16001013 20229246 23600787 25485546 29733137 32002026 38228319 47201574 48003039 59466274 70802361 76456638 89199411 96006078 141604722 178398822 267598233 535196466 1907168359 3814336718 5721505077 11443010154 13350178513 17164515231 26700357026 34329030462 40050535539 80101071078 120151606617 240303213234