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3444067104 = 253233973929
BaseRepresentation
bin1100110101001000…
…0100101100100000
322220000121201212220
43031102010230200
524023140121404
61325430151040
7151230041652
oct31522045440
98800551786
103444067104
1115080a4655
128014b2480
1342b6b493a
1424959c6d2
1515255e4d9
hexcd484b20

3444067104 has 96 divisors (see below), whose sum is σ = 9459918720. Its totient is φ = 1095063552.

The previous prime is 3444067103. The next prime is 3444067139. The reversal of 3444067104 is 4017604443.

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

It is not an unprimeable number, because it can be changed into a prime (3444067103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874612 + ... + 878540.

It is an arithmetic number, because the mean of its divisors is an integer number (98540820).

Almost surely, 23444067104 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 3444067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729959360).

3444067104 is an abundant number, since it is smaller than the sum of its proper divisors (6015851616).

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

3444067104 is a wasteful number, since it uses less digits than its factorization.

3444067104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3444067104 is about 58686.1747262505. The cubic root of 3444067104 is about 1510.1631483150.

The spelling of 3444067104 in words is "three billion, four hundred forty-four million, sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 397 552 736 794 1104 1191 1588 2208 2382 3176 3929 4764 6352 7858 9131 9528 11787 12704 15716 18262 19056 23574 27393 31432 36524 38112 47148 54786 62864 73048 90367 94296 109572 125728 146096 180734 188592 219144 271101 292192 361468 377184 438288 542202 722936 876576 1084404 1445872 1559813 2168808 2891744 3119626 4337616 4679439 6239252 8675232 9358878 12478504 18717756 24957008 35875699 37435512 49914016 71751398 74871024 107627097 143502796 149742048 215254194 287005592 430508388 574011184 861016776 1148022368 1722033552 3444067104