Search a number
-
+
3414212304 = 24383899629
BaseRepresentation
bin1100101110000000…
…1011111011010000
322210221102221210120
43023200023323100
523443014243204
61322442230240
7150415216506
oct31340137320
98727387716
103414212304
1114a2263268
127b34b5380
13425460a89
1424562a676
1514eb136d9
hexcb80bed0

3414212304 has 80 divisors (see below), whose sum is σ = 9027547200. Its totient is φ = 1111610368.

The previous prime is 3414212303. The next prime is 3414212309. The reversal of 3414212304 is 4032124143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414212303) 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, 349762 + ... + 359390.

It is an arithmetic number, because the mean of its divisors is an integer number (112844340).

Almost surely, 23414212304 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 3414212304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513773600).

3414212304 is an abundant number, since it is smaller than the sum of its proper divisors (5613334896).

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

3414212304 is a wasteful number, since it uses less digits than its factorization.

3414212304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812 (or 9806 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3414212304 is about 58431.2613589678. The cubic root of 3414212304 is about 1505.7868762216.

Adding to 3414212304 its reverse (4032124143), we get a palindrome (7446336447).

The spelling of 3414212304 in words is "three billion, four hundred fourteen million, two hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 89 166 178 249 267 332 356 498 534 664 712 996 1068 1328 1424 1992 2136 3984 4272 7387 9629 14774 19258 22161 28887 29548 38516 44322 57774 59096 77032 88644 115548 118192 154064 177288 231096 354576 462192 799207 856981 1598414 1713962 2397621 2570943 3196828 3427924 4795242 5141886 6393656 6855848 9590484 10283772 12787312 13711696 19180968 20567544 38361936 41135088 71129423 142258846 213388269 284517692 426776538 569035384 853553076 1138070768 1707106152 3414212304