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345214590 = 23572371473
BaseRepresentation
bin10100100100111…
…000111001111110
3220001120201101120
4110210320321332
51201333331330
654131051410
711361163350
oct2444707176
9801521346
10345214590
11167956916
1297740b66
135669bcb6
1433bc30d0
1520490c10
hex14938e7e

345214590 has 64 divisors (see below), whose sum is σ = 988056576. Its totient is φ = 75474432.

The previous prime is 345214501. The next prime is 345214627. The reversal of 345214590 is 95412543.

It is a super-2 number, since 2×3452145902 = 238346226297736200, which contains 22 as substring.

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, 30907 + ... + 40566.

It is an arithmetic number, because the mean of its divisors is an integer number (15438384).

Almost surely, 2345214590 is an apocalyptic number.

345214590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345214590 is an abundant number, since it is smaller than the sum of its proper divisors (642841986).

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

345214590 is a wasteful number, since it uses less digits than its factorization.

345214590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71513.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 345214590 is about 18579.9512916477. The cubic root of 345214590 is about 701.5032930840.

The spelling of 345214590 in words is "three hundred forty-five million, two hundred fourteen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 71473 142946 214419 357365 428838 500311 714730 1000622 1072095 1500933 1643879 2144190 2501555 3001866 3287758 4931637 5003110 7504665 8219395 9863274 11507153 15009330 16438790 23014306 24658185 34521459 49316370 57535765 69042918 115071530 172607295 345214590