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345552690 = 235723292467
BaseRepresentation
bin10100100110001…
…011011100110010
3220002012220011210
4110212023130302
51201430141230
654142220550
711364102150
oct2446133462
9802186153
10345552690
1116806793a
1297884756
1356789b62
1433c703d0
152050aeb0
hex1498b732

345552690 has 128 divisors (see below), whose sum is σ = 1023528960. Its totient is φ = 72914688.

The previous prime is 345552689. The next prime is 345552721. The reversal of 345552690 is 96255543.

It is a super-2 number, since 2×3455526902 = 238813323132472200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138837 + ... + 141303.

It is an arithmetic number, because the mean of its divisors is an integer number (7996320).

Almost surely, 2345552690 is an apocalyptic number.

345552690 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 345552690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511764480).

345552690 is an abundant number, since it is smaller than the sum of its proper divisors (677976270).

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

345552690 is a wasteful number, since it uses less digits than its factorization.

345552690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536.

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 345552690 is about 18589.0475818424. The cubic root of 345552690 is about 701.7322336544.

The spelling of 345552690 in words is "three hundred forty-five million, five hundred fifty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 29 30 35 42 46 58 69 70 87 105 115 138 145 161 174 203 210 230 290 322 345 406 435 483 609 667 690 805 870 966 1015 1218 1334 1610 2001 2030 2415 2467 3045 3335 4002 4669 4830 4934 6090 6670 7401 9338 10005 12335 14007 14802 17269 20010 23345 24670 28014 34538 37005 46690 51807 56741 70035 71543 74010 86345 103614 113482 140070 143086 170223 172690 214629 259035 283705 340446 357715 397187 429258 500801 518070 567410 715430 794374 851115 1001602 1073145 1191561 1502403 1645489 1702230 1985935 2146290 2383122 2504005 3004806 3290978 3971870 4936467 5008010 5957805 7512015 8227445 9872934 11518423 11915610 15024030 16454890 23036846 24682335 34555269 49364670 57592115 69110538 115184230 172776345 345552690