Search a number
-
+
4310389152 = 253223798237
BaseRepresentation
bin1000000001110101…
…10101000110100000
3102010101202110022200
410000322311012200
532311424423102
61551414333200
7211546463136
oct40072650640
912111673280
104310389152
111912114193
12a0365a200
13539019234
142cc66d756
151a363751c
hex100eb51a0

4310389152 has 144 divisors (see below), whose sum is σ = 12954090240. Its totient is φ = 1356765696.

The previous prime is 4310389147. The next prime is 4310389169. The reversal of 4310389152 is 2519830134.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519178 + ... + 527414.

It is an arithmetic number, because the mean of its divisors is an integer number (89958960).

Almost surely, 24310389152 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 4310389152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477045120).

4310389152 is an abundant number, since it is smaller than the sum of its proper divisors (8643701088).

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

4310389152 is a wasteful number, since it uses less digits than its factorization.

4310389152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4310389152 is about 65653.5539936720. The cubic root of 4310389152 is about 1627.4419021217.

The spelling of 4310389152 in words is "four billion, three hundred ten million, three hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 79 92 96 138 144 158 184 207 237 276 288 316 368 414 474 552 632 711 736 828 948 1104 1264 1422 1656 1817 1896 2208 2528 2844 3312 3634 3792 5451 5688 6624 7268 7584 8237 10902 11376 14536 16353 16474 21804 22752 24711 29072 32706 32948 43608 49422 58144 65412 65896 74133 87216 98844 130824 131792 148266 174432 189451 197688 261648 263584 296532 378902 395376 523296 568353 593064 650723 757804 790752 1136706 1186128 1301446 1515608 1705059 1952169 2273412 2372256 2602892 3031216 3410118 3904338 4546824 5205784 5856507 6062432 6820236 7808676 9093648 10411568 11713014 13640472 14966629 15617352 18187296 20823136 23426028 27280944 29933258 31234704 44899887 46852056 54561888 59866516 62469408 89799774 93704112 119733032 134699661 179599548 187408224 239466064 269399322 359199096 478932128 538798644 718398192 1077597288 1436796384 2155194576 4310389152