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345666848 = 25171953631
BaseRepresentation
bin10100100110100…
…111010100100000
3220002102200202212
4110212213110200
51201442314343
654144501252
711365056032
oct2446472440
9802380685
10345666848
1116813568a
129791a828
13567c9ac7
1433c9dc52
152052ec18
hex149a7520

345666848 has 96 divisors (see below), whose sum is σ = 774023040. Its totient is φ = 150958080.

The previous prime is 345666847. The next prime is 345666851. The reversal of 345666848 is 848666543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345666796 and 345666805.

It is not an unprimeable number, because it can be changed into a prime (345666847) 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, 547493 + ... + 548123.

It is an arithmetic number, because the mean of its divisors is an integer number (8062740).

Almost surely, 2345666848 is an apocalyptic number.

345666848 is a gapful number since it is divisible by the number (38) 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 345666848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387011520).

345666848 is an abundant number, since it is smaller than the sum of its proper divisors (428356192).

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

345666848 is a wasteful number, since it uses less digits than its factorization.

345666848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 50.

The square root of 345666848 is about 18592.1178997983. The cubic root of 345666848 is about 701.8095007212.

It can be divided in two parts, 34566 and 6848, that added together give a palindrome (41414).

The spelling of 345666848 in words is "three hundred forty-five million, six hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 53 68 76 106 136 152 212 272 304 323 424 544 608 631 646 848 901 1007 1262 1292 1696 1802 2014 2524 2584 3604 4028 5048 5168 7208 8056 10096 10336 10727 11989 14416 16112 17119 20192 21454 23978 28832 32224 33443 34238 42908 47956 66886 68476 85816 95912 133772 136952 171632 191824 203813 267544 273904 343264 383648 407626 535088 547808 568531 635417 815252 1070176 1137062 1270834 1630504 2274124 2541668 3261008 4548248 5083336 6522016 9096496 10166672 10802089 18192992 20333344 21604178 43208356 86416712 172833424 345666848