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345256830 = 2355473023
BaseRepresentation
bin10100100101000…
…011001101111110
3220001122212100000
4110211003031332
51201341204310
654132015130
711361430452
oct2445031576
9801585300
10345256830
11167985626
12977614a6
13566b52a9
1433bd4662
152049d4c0
hex1494337e

345256830 has 96 divisors (see below), whose sum is σ = 951035904. Its totient is φ = 90079776.

The previous prime is 345256823. The next prime is 345256831. The reversal of 345256830 is 38652543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345256831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112699 + ... + 115721.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2345256830 is an apocalyptic number.

345256830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345256830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

345256830 is an abundant number, since it is smaller than the sum of its proper divisors (605779074).

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

345256830 is a wasteful number, since it uses less digits than its factorization.

345256830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 345256830 is about 18581.0879659938. The cubic root of 345256830 is about 701.5319035884.

The spelling of 345256830 in words is "three hundred forty-five million, two hundred fifty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 243 270 282 405 423 470 486 705 810 846 1215 1269 1410 2115 2430 2538 3023 3807 4230 6046 6345 7614 9069 11421 12690 15115 18138 19035 22842 27207 30230 38070 45345 54414 57105 81621 90690 114210 136035 142081 163242 244863 272070 284162 408105 426243 489726 710405 734589 816210 852486 1224315 1278729 1420810 1469178 2131215 2448630 2557458 3672945 3836187 4262430 6393645 7345890 7672374 11508561 12787290 19180935 23017122 34525683 38361870 57542805 69051366 115085610 172628415 345256830