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348675960 = 2335127137167
BaseRepresentation
bin10100110010000…
…101111101111000
3220022002120111110
4110302011331320
51203230112320
654333200320
711432460663
oct2462057570
9808076443
10348675960
11169900456
12989300a0
1357311649
14344446da
15209265e0
hex14c85f78

348675960 has 128 divisors (see below), whose sum is σ = 1068318720. Its totient is φ = 91026432.

The previous prime is 348675953. The next prime is 348675979. The reversal of 348675960 is 69576843.

348675960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2087797 + ... + 2087963.

It is an arithmetic number, because the mean of its divisors is an integer number (8346240).

Almost surely, 2348675960 is an apocalyptic number.

348675960 is a gapful number since it is divisible by the number (30) 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 348675960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534159360).

348675960 is an abundant number, since it is smaller than the sum of its proper divisors (719642760).

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

348675960 is a wasteful number, since it uses less digits than its factorization.

348675960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 348675960 is about 18672.8669464547. The cubic root of 348675960 is about 703.8400925982.

The spelling of 348675960 in words is "three hundred forty-eight million, six hundred seventy-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 137 167 254 274 334 381 411 501 508 548 635 668 685 762 822 835 1002 1016 1096 1270 1336 1370 1524 1644 1670 1905 2004 2055 2505 2540 2740 3048 3288 3340 3810 4008 4110 5010 5080 5480 6680 7620 8220 10020 15240 16440 17399 20040 21209 22879 34798 42418 45758 52197 63627 68637 69596 84836 86995 91516 104394 106045 114395 127254 137274 139192 169672 173990 183032 208788 212090 228790 254508 260985 274548 318135 343185 347980 417576 424180 457580 509016 521970 549096 636270 686370 695960 848360 915160 1043940 1272540 1372740 2087880 2545080 2745480 2905633 5811266 8716899 11622532 14528165 17433798 23245064 29056330 34867596 43584495 58112660 69735192 87168990 116225320 174337980 348675960