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3434108328 = 2332731219797
BaseRepresentation
bin1100110010110000…
…0101010110101000
322212022212210000100
43030230011112220
524013112431303
61324432505400
7151046303430
oct31454052650
98768783010
103434108328
111502512462
127ba0ab260
13429608a81
142481292c0
151517438a3
hexccb055a8

3434108328 has 96 divisors (see below), whose sum is σ = 10972316160. Its totient is φ = 949518720.

The previous prime is 3434108303. The next prime is 3434108369. The reversal of 3434108328 is 8238014343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3434108292 and 3434108301.

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, 94275 + ... + 125522.

It is an arithmetic number, because the mean of its divisors is an integer number (114294960).

Almost surely, 23434108328 is an apocalyptic number.

It is an amenable number.

3434108328 is an abundant number, since it is smaller than the sum of its proper divisors (7538207832).

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

3434108328 is a wasteful number, since it uses less digits than its factorization.

3434108328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219847 (or 219840 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3434108328 is about 58601.2655836032. The cubic root of 3434108328 is about 1508.7061600876.

The spelling of 3434108328 in words is "three billion, four hundred thirty-four million, one hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 219797 439594 659391 879188 1318782 1538579 1758376 1978173 2637564 3077158 3956346 4615737 5275128 6154316 6813707 7912692 9231474 12308632 13627414 13847211 15825384 18462948 20441121 27254828 27694422 36925896 40882242 47695949 54509656 55388844 61323363 81764484 95391898 110777688 122646726 143087847 163528968 190783796 245293452 286175694 381567592 429263541 490586904 572351388 858527082 1144702776 1717054164 3434108328