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3459997104 = 243614792467
BaseRepresentation
bin1100111000111011…
…0101110110110000
322221010121001201220
43032032311312300
524041224401404
61331155425040
7151512330054
oct31616656660
98833531656
103459997104
111516095043
128068b5180
13431aa1685
1424b747c64
15153b594d9
hexce3b5db0

3459997104 has 80 divisors (see below), whose sum is σ = 9107512320. Its totient is φ = 1131598080.

The previous prime is 3459997103. The next prime is 3459997139. The reversal of 3459997104 is 4017999543.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3459997103) 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, 1401279 + ... + 1403745.

It is an arithmetic number, because the mean of its divisors is an integer number (113843904).

Almost surely, 23459997104 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 3459997104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553756160).

3459997104 is an abundant number, since it is smaller than the sum of its proper divisors (5647515216).

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

3459997104 is a wasteful number, since it uses less digits than its factorization.

3459997104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 3459997104 is about 58821.7400626673. The cubic root of 3459997104 is about 1512.4879097820.

The spelling of 3459997104 in words is "three billion, four hundred fifty-nine million, nine hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 479 488 732 958 976 1437 1464 1916 2467 2874 2928 3832 4934 5748 7401 7664 9868 11496 14802 19736 22992 29219 29604 39472 58438 59208 87657 116876 118416 150487 175314 233752 300974 350628 451461 467504 601948 701256 902922 1181693 1203896 1402512 1805844 2363386 2407792 3545079 3611688 4726772 7090158 7223376 9453544 14180316 18907088 28360632 56721264 72083273 144166546 216249819 288333092 432499638 576666184 864999276 1153332368 1729998552 3459997104