Search a number
-
+
346056266416 = 24722915220631
BaseRepresentation
bin1010000100100101000…
…11111001001010110000
31020002020020220202221011
411002102203321022300
521132210401011131
6422550454440304
734000411505500
oct5022243711260
91202206822834
10346056266416
111238418169a3
1257099663094
132682c81a663
1412a6bba7a00
159005be50b1
hex50928f92b0

346056266416 has 60 divisors (see below), whose sum is σ = 806845702320. Its totient is φ = 143195687040.

The previous prime is 346056266399. The next prime is 346056266419. The reversal of 346056266416 is 614662650643.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 346056266416.

It is not an unprimeable number, because it can be changed into a prime (346056266419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7587580 + ... + 7633051.

It is an arithmetic number, because the mean of its divisors is an integer number (13447428372).

Almost surely, 2346056266416 is an apocalyptic number.

It is an amenable number.

346056266416 is an abundant number, since it is smaller than the sum of its proper divisors (460789435904).

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

346056266416 is a wasteful number, since it uses less digits than its factorization.

346056266416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15220682 (or 15220669 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 346056266416 in words is "three hundred forty-six billion, fifty-six million, two hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2842 3248 5684 11368 22736 15220631 30441262 60882524 106544417 121765048 213088834 243530096 426177668 441398299 745810919 852355336 882796598 1491621838 1704710672 1765593196 2983243676 3089788093 3531186392 5966487352 6179576186 7062372784 11932974704 12359152372 21628516651 24718304744 43257033302 49436609488 86514066604 173028133208 346056266416