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343420013112 = 23311372950207
BaseRepresentation
bin1001111111101010110…
…11011000101000111000
31012211102112100020020220
410333311123120220320
521111311010404422
6421433122420040
733545160643011
oct4776533305070
91184375306226
10343420013112
1112270970a860
1256682801620
13264cc5c3367
141289ba0a008
158dee552e5c
hex4ff56d8a38

343420013112 has 96 divisors (see below), whose sum is σ = 962598712320. Its totient is φ = 101253951360.

The previous prime is 343420013107. The next prime is 343420013143. The reversal of 343420013112 is 211310024343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113688 + ... + 836519.

It is an arithmetic number, because the mean of its divisors is an integer number (10027069920).

Almost surely, 2343420013112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343420013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481299356160).

343420013112 is an abundant number, since it is smaller than the sum of its proper divisors (619178699208).

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

343420013112 is a wasteful number, since it uses less digits than its factorization.

343420013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950301 (or 950260 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 343420013112 its reverse (211310024343), we get a palindrome (554730037455).

The spelling of 343420013112 in words is "three hundred forty-three billion, four hundred twenty million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1369 1628 2442 2738 3256 4107 4884 5476 8214 9768 10952 15059 16428 30118 32856 45177 60236 90354 120472 180708 361416 950207 1900414 2850621 3800828 5701242 7601656 10452277 11402484 20904554 22804968 31356831 35157659 41809108 62713662 70315318 83618216 105472977 125427324 140630636 210945954 250854648 281261272 386734249 421891908 773468498 843783816 1160202747 1300833383 1546936996 2320405494 2601666766 3093873992 3902500149 4640810988 5203333532 7805000298 9281621976 10406667064 14309167213 15610000596 28618334426 31220001192 42927501639 57236668852 85855003278 114473337704 171710006556 343420013112