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3465794976 = 253711345641
BaseRepresentation
bin1100111010010011…
…1101010110100000
322221112111121220220
43032210331112200
524044220414401
61331524003040
7151612525350
oct31644752640
98845447826
103465794976
111519395076
12808830480
13433051677
1424c416b60
15154402336
hexce93d5a0

3465794976 has 96 divisors (see below), whose sum is σ = 10489627008. Its totient is φ = 981442560.

The previous prime is 3465794897. The next prime is 3465794977. The reversal of 3465794976 is 6794975643.

3465794976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3465794977) 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, 53116 + ... + 98756.

It is an arithmetic number, because the mean of its divisors is an integer number (109266948).

Almost surely, 23465794976 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 3465794976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244813504).

3465794976 is an abundant number, since it is smaller than the sum of its proper divisors (7023832032).

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

3465794976 is a wasteful number, since it uses less digits than its factorization.

3465794976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45774 (or 45766 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The square root of 3465794976 is about 58871.0028452039. The cubic root of 3465794976 is about 1513.3322570886.

The spelling of 3465794976 in words is "three billion, four hundred sixty-five million, seven hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1356 1582 1808 2373 2712 3164 3616 4746 5424 6328 9492 10848 12656 18984 25312 37968 45641 75936 91282 136923 182564 273846 319487 365128 547692 638974 730256 958461 1095384 1277948 1460512 1916922 2190768 2555896 3833844 4381536 5111792 5157433 7667688 10223584 10314866 15335376 15472299 20629732 30670752 30944598 36102031 41259464 61889196 72204062 82518928 108306093 123778392 144408124 165037856 216612186 247556784 288816248 433224372 495113568 577632496 866448744 1155264992 1732897488 3465794976