Search a number
-
+
3234310112 = 2511171928447
BaseRepresentation
bin1100000011000111…
…1010011111100000
322100101220222101102
43000301322133200
523110440410422
61252534253532
7143102116355
oct30061723740
98311828342
103234310112
11140a758070
127631b72a8
133c70c2587
1422979a62c
1513de29192
hexc0c7a7e0

3234310112 has 96 divisors (see below), whose sum is σ = 7742407680. Its totient is φ = 1310791680.

The previous prime is 3234310109. The next prime is 3234310127. The reversal of 3234310112 is 2110134323.

It is a congruent number.

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, 99473 + ... + 127919.

It is an arithmetic number, because the mean of its divisors is an integer number (80650080).

Almost surely, 23234310112 is an apocalyptic number.

3234310112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871203840).

3234310112 is an abundant number, since it is smaller than the sum of its proper divisors (4508097568).

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

3234310112 is a wasteful number, since it uses less digits than its factorization.

3234310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28504 (or 28496 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3234310112 is about 56870.9953491233. The cubic root of 3234310112 is about 1478.8605351643.

Adding to 3234310112 its reverse (2110134323), we get a palindrome (5344444435).

The spelling of 3234310112 in words is "three billion, two hundred thirty-four million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 68 76 88 136 152 176 187 209 272 304 323 352 374 418 544 608 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 5984 6688 7106 10336 14212 28424 28447 56848 56894 113696 113788 227576 312917 455152 483599 540493 625834 910304 967198 1080986 1251668 1934396 2161972 2503336 3868792 4323944 5006672 5319589 5945423 7737584 8647888 9188381 10013344 10639178 11890846 15475168 17295776 18376762 21278356 23781692 36753524 42556712 47563384 73507048 85113424 95126768 101072191 147014096 170226848 190253536 202144382 294028192 404288764 808577528 1617155056 3234310112