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3426103332 = 223419599433
BaseRepresentation
bin1100110000110110…
…0011000000100100
322211202211002020000
43030031203000210
524004040301312
61323545141300
7150621253311
oct31415430044
98752732200
103426103332
1114a8a45163
127b748a830
13427a652a2
14247043d08
15150bb1adc
hexcc363024

3426103332 has 120 divisors (see below), whose sum is σ = 9588717600. Its totient is φ = 1063476864.

The previous prime is 3426103301. The next prime is 3426103333. The reversal of 3426103332 is 2333016243.

It is a happy number.

3426103332 is a `hidden beast` number, since 3 + 42 + 610 + 3 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3426103296 and 3426103305.

It is not an unprimeable number, because it can be changed into a prime (3426103333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358488 + ... + 367920.

It is an arithmetic number, because the mean of its divisors is an integer number (79905980).

Almost surely, 23426103332 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 3426103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794358800).

3426103332 is an abundant number, since it is smaller than the sum of its proper divisors (6162614268).

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

3426103332 is a wasteful number, since it uses less digits than its factorization.

3426103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3426103332 is about 58532.9251959955. The cubic root of 3426103332 is about 1507.5329702450.

Adding to 3426103332 its reverse (2333016243), we get a palindrome (5759119575).

The spelling of 3426103332 in words is "three billion, four hundred twenty-six million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 81 108 114 118 162 171 177 228 236 324 342 354 513 531 684 708 1026 1062 1121 1539 1593 2052 2124 2242 3078 3186 3363 4484 4779 6156 6372 6726 9433 9558 10089 13452 18866 19116 20178 28299 30267 37732 40356 56598 60534 84897 90801 113196 121068 169794 179227 181602 254691 339588 358454 363204 509382 537681 556547 716908 764073 1018764 1075362 1113094 1528146 1613043 1669641 2150724 2226188 3056292 3226086 3339282 4839129 5008923 6452172 6678564 9678258 10017846 10574393 14517387 15026769 19356516 20035692 21148786 29034774 30053538 31723179 42297572 45080307 58069548 60107076 63446358 90160614 95169537 126892716 180321228 190339074 285508611 380678148 571017222 856525833 1142034444 1713051666 3426103332