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342311928 = 233719710343
BaseRepresentation
bin10100011001110…
…100001111111000
3212212010020200120
4110121310033320
51200112440203
653544533240
711324413650
oct2431641770
9785106616
10342311928
11166254022
1296781220
1355bc3a4a
1433669360
15200bab53
hex146743f8

342311928 has 64 divisors (see below), whose sum is σ = 983093760. Its totient is φ = 97297536.

The previous prime is 342311873. The next prime is 342311953. The reversal of 342311928 is 829113243.

It is a super-3 number, since 3×3423119283 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27925 + ... + 38267.

It is an arithmetic number, because the mean of its divisors is an integer number (15360840).

Almost surely, 2342311928 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 342311928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491546880).

342311928 is an abundant number, since it is smaller than the sum of its proper divisors (640781832).

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

342311928 is a wasteful number, since it uses less digits than its factorization.

342311928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10552 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 342311928 is about 18501.6736540238. The cubic root of 342311928 is about 699.5316104669.

It can be divided in two parts, 3423 and 11928, that added together give a palindrome (15351).

The spelling of 342311928 in words is "three hundred forty-two million, three hundred eleven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 394 591 788 1182 1379 1576 2364 2758 4137 4728 5516 8274 10343 11032 16548 20686 31029 33096 41372 62058 72401 82744 124116 144802 217203 248232 289604 434406 579208 868812 1737624 2037571 4075142 6112713 8150284 12225426 14262997 16300568 24450852 28525994 42788991 48901704 57051988 85577982 114103976 171155964 342311928