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3342434032 = 247431394993
BaseRepresentation
bin1100011100111001…
…0111111011110000
322121221101020112001
43013032113323300
523321130342112
61311355543344
7145554135430
oct30716277360
98557336461
103342434032
111465798183
1279345ab54
1341361ba22
14239ca42c0
15148685c57
hexc7397ef0

3342434032 has 80 divisors (see below), whose sum is σ = 7629233920. Its totient is φ = 1388814336.

The previous prime is 3342434009. The next prime is 3342434057. The reversal of 3342434032 is 2304342433.

It is a super-2 number, since 2×33424340322 = 22343730516543554048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666928 + ... + 671920.

It is an arithmetic number, because the mean of its divisors is an integer number (95365424).

Almost surely, 23342434032 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 3342434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814616960).

3342434032 is an abundant number, since it is smaller than the sum of its proper divisors (4286799888).

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

3342434032 is a wasteful number, since it uses less digits than its factorization.

3342434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

The square root of 3342434032 is about 57813.7875597162. The cubic root of 3342434032 is about 1495.1598106586.

Adding to 3342434032 its reverse (2304342433), we get a palindrome (5646776465).

The spelling of 3342434032 in words is "three billion, three hundred forty-two million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 139 172 278 301 344 556 602 688 973 1112 1204 1946 2224 2408 3892 4816 4993 5977 7784 9986 11954 15568 19972 23908 34951 39944 41839 47816 69902 79888 83678 95632 139804 167356 214699 279608 334712 429398 559216 669424 694027 858796 1388054 1502893 1717592 2776108 3005786 3435184 4858189 5552216 6011572 9716378 11104432 12023144 19432756 24046288 29843161 38865512 59686322 77731024 119372644 208902127 238745288 417804254 477490576 835608508 1671217016 3342434032