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3454459812 = 22366471831
BaseRepresentation
bin1100110111100110…
…1101111110100100
322220202011202000000
43031321231332210
524033320203222
61330441021300
7151414265256
oct31571557644
98822152000
103454459812
111512a52871
12804a84830
134308b317b
1424ab05cd6
151534139ac
hexcde6dfa4

3454459812 has 84 divisors (see below), whose sum is σ = 9082777536. Its totient is φ = 1149078960.

The previous prime is 3454459783. The next prime is 3454459819. The reversal of 3454459812 is 2189544543.

3454459812 is a `hidden beast` number, since 3 + 4 + 5 + 44 + 598 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (3454459819) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1885737 + ... + 1887567.

It is an arithmetic number, because the mean of its divisors is an integer number (108128304).

Almost surely, 23454459812 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 3454459812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541388768).

3454459812 is an abundant number, since it is smaller than the sum of its proper divisors (5628317724).

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

3454459812 is a wasteful number, since it uses less digits than its factorization.

3454459812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2483 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3454459812 is about 58774.6528020370. The cubic root of 3454459812 is about 1511.6806298251.

The spelling of 3454459812 in words is "three billion, four hundred fifty-four million, four hundred fifty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 647 729 972 1294 1458 1831 1941 2588 2916 3662 3882 5493 5823 7324 7764 10986 11646 16479 17469 21972 23292 32958 34938 49437 52407 65916 69876 98874 104814 148311 157221 197748 209628 296622 314442 444933 471663 593244 628884 889866 943326 1184657 1334799 1779732 1886652 2369314 2669598 3553971 4738628 5339196 7107942 10661913 14215884 21323826 31985739 42647652 63971478 95957217 127942956 191914434 287871651 383828868 575743302 863614953 1151486604 1727229906 3454459812