Search a number
-
+
3344104608 = 253132992399
BaseRepresentation
bin1100011101010010…
…1111110010100000
322122001112010010020
43013110233302200
523322042321413
61311455433440
7145604264055
oct30724576240
98561463106
103344104608
111466729319
12793b25880
13413a85230
1423a1bb02c
151488b5c23
hexc752fca0

3344104608 has 96 divisors (see below), whose sum is σ = 9779616000. Its totient is φ = 993463296.

The previous prime is 3344104597. The next prime is 3344104627. The reversal of 3344104608 is 8064014433.

It is a happy number.

3344104608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33441046082 = 22366071258493667328, which contains 22 as substring.

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, 10008 + ... + 82391.

It is an arithmetic number, because the mean of its divisors is an integer number (101871000).

Almost surely, 23344104608 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 3344104608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889808000).

3344104608 is an abundant number, since it is smaller than the sum of its proper divisors (6435511392).

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

3344104608 is a wasteful number, since it uses less digits than its factorization.

3344104608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92454 (or 92446 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3344104608 is about 57828.2336579633. The cubic root of 3344104608 is about 1495.4088668903.

The spelling of 3344104608 in words is "three billion, three hundred forty-four million, one hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2784 3016 4524 6032 9048 12064 18096 36192 92399 184798 277197 369596 554394 739192 1108788 1201187 1478384 2217576 2402374 2679571 2956768 3603561 4435152 4804748 5359142 7207122 8038713 8870304 9609496 10718284 14414244 16077426 19218992 21436568 28828488 32154852 34834423 38437984 42873136 57656976 64309704 69668846 85746272 104503269 115313952 128619408 139337692 209006538 257238816 278675384 418013076 557350768 836026152 1114701536 1672052304 3344104608