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348687680 = 26511175827
BaseRepresentation
bin10100110010001…
…000110101000000
3220022010011120112
4110302020311000
51203231001210
654333330452
711432540105
oct2462106500
9808104515
10348687680
11169909240
1298936a28
1357316a93
1434448aac
1520929d05
hex14c88d40

348687680 has 112 divisors (see below), whose sum is σ = 959242176. Its totient is φ = 119316480.

The previous prime is 348687673. The next prime is 348687701. The reversal of 348687680 is 86786843.

It is a happy number.

348687680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56927 + ... + 62753.

Almost surely, 2348687680 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 348687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479621088).

348687680 is an abundant number, since it is smaller than the sum of its proper divisors (610554496).

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

348687680 is a wasteful number, since it uses less digits than its factorization.

348687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 348687680 is about 18673.1807681498. The cubic root of 348687680 is about 703.8479785385.

The spelling of 348687680 in words is "three hundred forty-eight million, six hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1760 1870 2720 2992 3520 3740 5440 5827 5984 7480 11654 11968 14960 23308 29135 29920 46616 58270 59840 64097 93232 99059 116540 128194 186464 198118 233080 256388 320485 372928 396236 466160 495295 512776 640970 792472 932320 990590 1025552 1089649 1281940 1584944 1864640 1981180 2051104 2179298 2563880 3169888 3962360 4102208 4358596 5127760 5448245 6339776 7924720 8717192 10255520 10896490 15849440 17434384 20511040 21792980 31698880 34868768 43585960 69737536 87171920 174343840 348687680