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345090928 = 247413691
BaseRepresentation
bin10100100100011…
…010101101110000
3220001100102202111
4110210122231300
51201320402203
654124255104
711360140000
oct2444325560
9801312674
10345090928
11167881a16
12976a1494
1356657920
1433b90000
152046926d
hex1491ab70

345090928 has 100 divisors (see below), whose sum is σ = 841218728. Its totient is φ = 136321920.

The previous prime is 345090917. The next prime is 345090931. The reversal of 345090928 is 829090543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 499063 + ... + 499753.

Almost surely, 2345090928 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 345090928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420609364).

345090928 is an abundant number, since it is smaller than the sum of its proper divisors (496127800).

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

345090928 is an equidigital number, since it uses as much as digits as its factorization.

345090928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 345090928 is about 18576.6231592289. The cubic root of 345090928 is about 701.4195194321.

The spelling of 345090928 in words is "three hundred forty-five million, ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 637 686 691 728 784 1274 1372 1382 1456 2401 2548 2744 2764 4459 4802 4837 5096 5488 5528 8918 8983 9604 9674 10192 11056 17836 17966 19208 19348 31213 33859 35672 35932 38416 38696 62426 62881 67718 71344 71864 77392 124852 125762 135436 143728 237013 249704 251524 270872 440167 474026 499408 503048 541744 880334 948052 1006096 1659091 1760668 1896104 3081169 3318182 3521336 3792208 6162338 6636364 7042672 12324676 13272728 21568183 24649352 26545456 43136366 49298704 86272732 172545464 345090928