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348775900 = 2252113131013
BaseRepresentation
bin10100110010011…
…110010111011100
3220022021122120221
4110302132113130
51203241312100
654335251124
711433355234
oct2462362734
9808248527
10348775900
11169969550
1298979aa4
1357347c95
143446ccc4
152094601a
hex14c9e5dc

348775900 has 72 divisors (see below), whose sum is σ = 829103184. Its totient is φ = 126297600.

The previous prime is 348775883. The next prime is 348775943. The reversal of 348775900 is 9577843.

It is a happy number.

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, 343794 + ... + 344806.

It is an arithmetic number, because the mean of its divisors is an integer number (11515322).

Almost surely, 2348775900 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 348775900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414551592).

348775900 is an abundant number, since it is smaller than the sum of its proper divisors (480327284).

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

348775900 is a wasteful number, since it uses less digits than its factorization.

348775900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 348775900 is about 18675.5428301295. The cubic root of 348775900 is about 703.9073327365.

The spelling of 348775900 in words is "three hundred forty-eight million, seven hundred seventy-five thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 313 550 626 1013 1100 1252 1565 2026 3130 3443 4052 5065 6260 6886 7825 10130 11143 13772 15650 17215 20260 22286 25325 31300 34430 44572 50650 55715 68860 86075 101300 111430 172150 222860 278575 317069 344300 557150 634138 1114300 1268276 1585345 3170690 3487759 6341380 6975518 7926725 13951036 15853450 17438795 31706900 34877590 69755180 87193975 174387950 348775900