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3414348036 = 22321164113451
BaseRepresentation
bin1100101110000010…
…1101000100000100
322210221200211222200
43023200231010010
523443033114121
61322445154500
7150416323311
oct31340550404
98727624880
103414348036
1114a2346240
127b355ba30
134254aa7a8
14245663d08
1514eb3da26
hexcb82d104

3414348036 has 72 divisors (see below), whose sum is σ = 9430712928. Its totient is φ = 1032960000.

The previous prime is 3414348023. The next prime is 3414348071. The reversal of 3414348036 is 6308434143.

It is a happy number.

3414348036 is a `hidden beast` number, since 3 + 4 + 143 + 480 + 36 = 666.

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, 247111 + ... + 260561.

It is an arithmetic number, because the mean of its divisors is an integer number (130982124).

Almost surely, 23414348036 is an apocalyptic number.

3414348036 is a gapful number since it is divisible by the number (36) 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 3414348036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715356464).

3414348036 is an abundant number, since it is smaller than the sum of its proper divisors (6016364892).

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

3414348036 is a wasteful number, since it uses less digits than its factorization.

3414348036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14113 (or 14108 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3414348036 is about 58432.4228147353. The cubic root of 3414348036 is about 1505.8068301414.

The spelling of 3414348036 in words is "three billion, four hundred fourteen million, three hundred forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 641 1282 1923 2564 3846 5769 7051 7692 11538 13451 14102 21153 23076 26902 28204 40353 42306 53804 63459 80706 84612 121059 126918 147961 161412 242118 253836 295922 443883 484236 591844 887766 1331649 1775532 2663298 5326596 8622091 17244182 25866273 34488364 51732546 77598819 94843001 103465092 155197638 189686002 284529003 310395276 379372004 569058006 853587009 1138116012 1707174018 3414348036