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348967668 = 223747157563
BaseRepresentation
bin10100110011001…
…101001011110100
3220022122101122110
4110303031023310
51203313431133
654343331020
711435114310
oct2463151364
9808571573
10348967668
11169a8a635
1298a50a70
13573b435a
14344bcb40
1520982c63
hex14ccd2f4

348967668 has 96 divisors (see below), whose sum is σ = 958132224. Its totient is φ = 96789888.

The previous prime is 348967649. The next prime is 348967669. The reversal of 348967668 is 866769843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348967669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619555 + ... + 620117.

It is an arithmetic number, because the mean of its divisors is an integer number (9980544).

Almost surely, 2348967668 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 348967668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479066112).

348967668 is an abundant number, since it is smaller than the sum of its proper divisors (609164556).

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

348967668 is a wasteful number, since it uses less digits than its factorization.

348967668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 779 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 348967668 is about 18680.6763260863. The cubic root of 348967668 is about 704.0363192566.

The spelling of 348967668 in words is "three hundred forty-eight million, nine hundred sixty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 157 188 282 314 329 471 563 564 628 658 942 987 1099 1126 1316 1689 1884 1974 2198 2252 3297 3378 3941 3948 4396 6594 6756 7379 7882 11823 13188 14758 15764 22137 23646 26461 29516 44274 47292 51653 52922 79383 88391 88548 103306 105844 154959 158766 176782 185227 206612 265173 309918 317532 353564 370454 530346 555681 618737 619836 740908 1060692 1111362 1237474 1856211 2222724 2474948 3712422 4154377 7424844 8308754 12463131 16617508 24926262 29080639 49852524 58161278 87241917 116322556 174483834 348967668