Search a number
-
+
344945664 = 2103275347
BaseRepresentation
bin10100100011110…
…111010000000000
3220001002001111100
4110203313100000
51201301230124
654121214400
711355663330
oct2443672000
9801061440
10344945664
11167792868
1297631400
135660677b
1433b530c0
152043b1c9
hex148f7400

344945664 has 132 divisors (see below), whose sum is σ = 1138525024. Its totient is φ = 98537472.

The previous prime is 344945647. The next prime is 344945687. The reversal of 344945664 is 466549443.

It is a super-2 number, since 2×3449456642 = 237975022224801792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 61839 + ... + 67185.

Almost surely, 2344945664 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 344945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569262512).

344945664 is an abundant number, since it is smaller than the sum of its proper divisors (793579360).

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

344945664 is a wasteful number, since it uses less digits than its factorization.

344945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5359 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 344945664 is about 18572.7128874594. The cubic root of 344945664 is about 701.3210861431.

The spelling of 344945664 in words is "three hundred forty-four million, nine hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5347 5376 7168 8064 9216 10694 10752 16041 16128 21388 21504 32082 32256 37429 42776 48123 64164 64512 74858 85552 96246 112287 128328 149716 171104 192492 224574 256656 299432 336861 342208 384984 449148 513312 598864 673722 684416 769968 898296 1026624 1197728 1347444 1368832 1539936 1796592 2053248 2395456 2694888 2737664 3079872 3593184 4106496 4790912 5389776 5475328 6159744 7186368 8212992 9581824 10779552 12319488 14372736 16425984 19163648 21559104 24638976 28745472 38327296 43118208 49277952 57490944 86236416 114981888 172472832 344945664