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344425872 = 24373143769
BaseRepresentation
bin10100100001111…
…000010110010000
3220000002122110210
4110201320112100
51201133111442
654102124120
711351400030
oct2441702620
9800078423
10344425872
1116746828a
1297420640
1356483cbb
1433a598c0
152038719c
hex14878590

344425872 has 160 divisors (see below), whose sum is σ = 1075486720. Its totient is φ = 92897280.

The previous prime is 344425843. The next prime is 344425877. The reversal of 344425872 is 278524443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 344425872.

It is not an unprimeable number, because it can be changed into a prime (344425877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447504 + ... + 448272.

It is an arithmetic number, because the mean of its divisors is an integer number (6721792).

Almost surely, 2344425872 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 344425872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537743360).

344425872 is an abundant number, since it is smaller than the sum of its proper divisors (731060848).

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

344425872 is a wasteful number, since it uses less digits than its factorization.

344425872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 344425872 is about 18558.7141795977. The cubic root of 344425872 is about 700.9686399579.

The spelling of 344425872 in words is "three hundred forty-four million, four hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 43 48 56 62 84 86 93 112 124 129 168 172 186 217 248 258 301 336 344 372 434 496 516 602 651 688 744 769 868 903 1032 1204 1302 1333 1488 1538 1736 1806 2064 2307 2408 2604 2666 3076 3472 3612 3999 4614 4816 5208 5332 5383 6152 7224 7998 9228 9331 10416 10664 10766 12304 14448 15996 16149 18456 18662 21328 21532 23839 27993 31992 32298 33067 36912 37324 43064 47678 55986 63984 64596 66134 71517 74648 86128 95356 99201 111972 129192 132268 143034 149296 166873 190712 198402 223944 231469 258384 264536 286068 333746 381424 396804 447888 462938 500619 529072 572136 667492 694407 793608 925876 1001238 1025077 1144272 1334984 1388814 1587216 1851752 2002476 2050154 2669968 2777628 3075231 3703504 4004952 4100308 5555256 6150462 7175539 8009904 8200616 11110512 12300924 14351078 16401232 21526617 24601848 28702156 43053234 49203696 57404312 86106468 114808624 172212936 344425872