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3465470112 = 253139728627
BaseRepresentation
bin1100111010001110…
…1110000010100000
322221111220010021220
43032203232002200
524044130020422
61331513015040
7151610003256
oct31643560240
98844803256
103465470112
111519192a95
128086b4480
13432c69840
1424c3705d6
1515438ae5c
hexce8ee0a0

3465470112 has 96 divisors (see below), whose sum is σ = 9897959232. Its totient is φ = 1055268864.

The previous prime is 3465470081. The next prime is 3465470131. The reversal of 3465470112 is 2110745643.

It is a tau number, because it is divible by the number of its divisors (96).

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, 106743 + ... + 135369.

It is an arithmetic number, because the mean of its divisors is an integer number (103103742).

Almost surely, 23465470112 is an apocalyptic number.

3465470112 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 3465470112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948979616).

3465470112 is an abundant number, since it is smaller than the sum of its proper divisors (6432489120).

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

3465470112 is a wasteful number, since it uses less digits than its factorization.

3465470112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28750 (or 28742 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3465470112 is about 58868.2436632859. The cubic root of 3465470112 is about 1513.2849718783.

The spelling of 3465470112 in words is "three billion, four hundred sixty-five million, four hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 194 208 291 312 388 416 582 624 776 1164 1248 1261 1552 2328 2522 3104 3783 4656 5044 7566 9312 10088 15132 20176 28627 30264 40352 57254 60528 85881 114508 121056 171762 229016 343524 372151 458032 687048 744302 916064 1116453 1374096 1488604 2232906 2748192 2776819 2977208 4465812 5553638 5954416 8330457 8931624 11107276 11908832 16660914 17863248 22214552 33321828 35726496 36098647 44429104 66643656 72197294 88858208 108295941 133287312 144394588 216591882 266574624 288789176 433183764 577578352 866367528 1155156704 1732735056 3465470112