Search a number
-
+
348429664 = 25112292107
BaseRepresentation
bin10100110001001…
…001110101100000
3220021122001122101
4110301021311200
51203144222124
654324020144
711430413632
oct2461116540
9807561571
10348429664
11169752400
1298831654
13572564cb
14343bca52
15208c8644
hex14c49d60

348429664 has 108 divisors (see below), whose sum is σ = 788195772. Its totient is φ = 151486720.

The previous prime is 348429661. The next prime is 348429667. The reversal of 348429664 is 466924843.

It is an interprime number because it is at equal distance from previous prime (348429661) and next prime (348429667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348429661) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3256299 + ... + 3256405.

It is an arithmetic number, because the mean of its divisors is an integer number (7298109).

Almost surely, 2348429664 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 348429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394097886).

348429664 is an abundant number, since it is smaller than the sum of its proper divisors (439766108).

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

348429664 is a wasteful number, since it uses less digits than its factorization.

348429664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 149 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The square root of 348429664 is about 18666.2707577063. The cubic root of 348429664 is about 703.6743285338.

The spelling of 348429664 in words is "three hundred forty-eight million, four hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 107 116 121 176 214 232 242 319 352 428 464 484 638 841 856 928 968 1177 1276 1682 1712 1936 2354 2552 3103 3364 3424 3509 3872 4708 5104 6206 6728 7018 9251 9416 10208 12412 12947 13456 14036 18502 18832 24824 25894 26912 28072 34133 37004 37664 49648 51788 56144 68266 74008 89987 99296 101761 103576 112288 136532 148016 179974 203522 207152 273064 296032 359948 375463 407044 414304 546128 719896 750926 814088 989857 1092256 1439792 1501852 1628176 1979714 2879584 3003704 3256352 3959428 6007408 7918856 10888427 12014816 15837712 21776854 31675424 43553708 87107416 174214832 348429664