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348929392 = 247229103149
BaseRepresentation
bin10100110011000…
…011110101110000
3220022120110010211
4110303003311300
51203311220032
654342433504
711434564600
oct2463036560
9808513124
10348929392
11169a638a9
1298a32894
135739cac6
14344acc00
1520976747
hex14cc3d70

348929392 has 120 divisors (see below), whose sum is σ = 826956000. Its totient is φ = 142023168.

The previous prime is 348929381. The next prime is 348929401. The reversal of 348929392 is 293929843.

348929392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 2341734 + ... + 2341882.

It is an arithmetic number, because the mean of its divisors is an integer number (6891300).

Almost surely, 2348929392 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 348929392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413478000).

348929392 is an abundant number, since it is smaller than the sum of its proper divisors (478026608).

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

348929392 is a wasteful number, since it uses less digits than its factorization.

348929392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 348929392 is about 18679.6518168835. The cubic root of 348929392 is about 704.0105779230.

The spelling of 348929392 in words is "three hundred forty-eight million, nine hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 103 112 116 149 196 203 206 232 298 392 406 412 464 596 721 784 812 824 1043 1192 1421 1442 1624 1648 2086 2384 2842 2884 2987 3248 4172 4321 5047 5684 5768 5974 7301 8344 8642 10094 11368 11536 11948 14602 15347 16688 17284 20188 20909 22736 23896 29204 30247 30694 34568 40376 41818 47792 58408 60494 61388 69136 80752 83636 107429 116816 120988 122776 146363 167272 211729 214858 241976 245552 292726 334544 423458 429716 445063 483952 585452 752003 846916 859432 890126 1170904 1504006 1693832 1718864 1780252 2341808 3008012 3115441 3387664 3560504 6016024 6230882 7121008 12032048 12461764 21808087 24923528 43616174 49847056 87232348 174464696 348929392