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3442915392 = 263718114153
BaseRepresentation
bin1100110100110110…
…1011100001000000
322212221110020000220
43031031223201000
524022341243032
61325345343040
7151214204130
oct31515534100
98787406026
103442915392
111507488324
12801037a80
1342b3a0657
1424937cac0
151523d312c
hexcd36b840

3442915392 has 112 divisors (see below), whose sum is σ = 10468977792. Its totient is φ = 978186240.

The previous prime is 3442915369. The next prime is 3442915433. The reversal of 3442915392 is 2935192443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 236188 + ... + 250340.

It is an arithmetic number, because the mean of its divisors is an integer number (93473016).

Almost surely, 23442915392 is an apocalyptic number.

3442915392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442915392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234488896).

3442915392 is an abundant number, since it is smaller than the sum of its proper divisors (7026062400).

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

3442915392 is a wasteful number, since it uses less digits than its factorization.

3442915392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14356 (or 14346 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 3442915392 is about 58676.3614413846. The cubic root of 3442915392 is about 1509.9947943624.

The spelling of 3442915392 in words is "three billion, four hundred forty-two million, nine hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 181 192 224 336 362 448 543 672 724 1086 1267 1344 1448 2172 2534 2896 3801 4344 5068 5792 7602 8688 10136 11584 14153 15204 17376 20272 28306 30408 34752 40544 42459 56612 60816 81088 84918 99071 113224 121632 169836 198142 226448 243264 297213 339672 396284 452896 594426 679344 792568 905792 1188852 1358688 1585136 2377704 2561693 2717376 3170272 4755408 5123386 6340544 7685079 9510816 10246772 15370158 17931851 19021632 20493544 30740316 35863702 40987088 53795553 61480632 71727404 81974176 107591106 122961264 143454808 163948352 215182212 245922528 286909616 430364424 491845056 573819232 860728848 1147638464 1721457696 3442915392