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3455665542 = 2327313723911
BaseRepresentation
bin1100110111111001…
…0100010110000110
322220211102222221200
43031332110112012
524034122244132
61330522523330
7151430446440
oct31576242606
98824388850
103455665542
1115136a673a
12805366546
13430c15c14
1424ad3b490
151535a0d7c
hexcdf94586

3455665542 has 96 divisors (see below), whose sum is σ = 9072021504. Its totient is φ = 929620800.

The previous prime is 3455665519. The next prime is 3455665547. The reversal of 3455665542 is 2455665543.

3455665542 is a `hidden beast` number, since 3 + 4 + 556 + 6 + 55 + 42 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455665547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132567 + ... + 156477.

It is an arithmetic number, because the mean of its divisors is an integer number (94500224).

Almost surely, 23455665542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455665542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536010752).

3455665542 is an abundant number, since it is smaller than the sum of its proper divisors (5616355962).

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

3455665542 is a wasteful number, since it uses less digits than its factorization.

3455665542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23994 (or 23991 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The square root of 3455665542 is about 58784.9091349132. The cubic root of 3455665542 is about 1511.8564862316.

Subtracting from 3455665542 its reverse (2455665543), we obtain a palindrome (999999999).

The spelling of 3455665542 in words is "three billion, four hundred fifty-five million, six hundred sixty-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 37 42 62 63 74 93 111 126 186 217 222 259 279 333 434 518 558 651 666 777 1147 1302 1554 1953 2294 2331 3441 3906 4662 6882 8029 10323 16058 20646 23911 24087 47822 48174 71733 72261 143466 144522 167377 215199 334754 430398 502131 741241 884707 1004262 1482482 1506393 1769414 2223723 2654121 3012786 4447446 5188687 5308242 6192949 6671169 7962363 10377374 12385898 13342338 15566061 15924726 18578847 27425917 31132122 37157694 46698183 54851834 55736541 82277751 93396366 111473082 164555502 191981419 246833253 383962838 493666506 575944257 1151888514 1727832771 3455665542