[go: up one dir, main page]

Search a number
-
+
2344109056 = 210172892
BaseRepresentation
bin1000101110111000…
…0100010000000000
320001100212002002221
42023232010100000
514300042442211
61024334220424
7112042412122
oct21356042000
96040762087
102344109056
11aa3208913
12555054714
132b484a0a3
14183471212
15dabd5c71
hex8bb84400

2344109056 has 99 divisors (see below), whose sum is σ = 5034344719. Its totient is φ = 1090715648.

The previous prime is 2344109041. The next prime is 2344109057. The reversal of 2344109056 is 6509014432.

It is a happy number.

The square root of 2344109056 is 48416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3097600 + 2341011456 = 1760^2 + 48384^2 .

It is a super-2 number, since 2×23441090562 = 10989694532842422272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2344109057) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26338260 + ... + 26338348.

Almost surely, 22344109056 is an apocalyptic number.

2344109056 is the 48416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344109056

2344109056 is an abundant number, since it is smaller than the sum of its proper divisors (2690235663).

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

2344109056 is an frugal number, since it uses more digits than its factorization.

2344109056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The cubic root of 2344109056 is about 1328.3910398254.

The spelling of 2344109056 in words is "two billion, three hundred forty-four million, one hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 89 128 136 178 256 272 289 356 512 544 578 712 1024 1088 1156 1424 1513 2176 2312 2848 3026 4352 4624 5696 6052 7921 8704 9248 11392 12104 15842 17408 18496 22784 24208 25721 31684 36992 45568 48416 51442 63368 73984 91136 96832 102884 126736 134657 147968 193664 205768 253472 269314 295936 387328 411536 506944 538628 774656 823072 1013888 1077256 1549312 1646144 2027776 2154512 2289169 3292288 4055552 4309024 4578338 6584576 8111104 8618048 9156676 13169152 17236096 18313352 26338304 34472192 36626704 68944384 73253408 137888768 146506816 293013632 586027264 1172054528 2344109056