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457742034 = 2321719131601
BaseRepresentation
bin11011010010001…
…001011011010010
31011220022201000200
4123102021123102
51414140221114
6113231000030
714225512611
oct3322113322
91156281020
10457742034
11215424402
12109369016
1373aaa899
1444b15878
152a2bc409
hex1b4896d2

457742034 has 96 divisors (see below), whose sum is σ = 1115674560. Its totient is φ = 134784000.

The previous prime is 457742027. The next prime is 457742069. The reversal of 457742034 is 430247754.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 457742034.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761334 + ... + 761934.

It is an arithmetic number, because the mean of its divisors is an integer number (11621610).

Almost surely, 2457742034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457742034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557837280).

457742034 is an abundant number, since it is smaller than the sum of its proper divisors (657932526).

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

457742034 is a wasteful number, since it uses less digits than its factorization.

457742034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 457742034 is about 21394.9067303412. The cubic root of 457742034 is about 770.6791298559.

Adding to 457742034 its reverse (430247754), we get a palindrome (887989788).

The spelling of 457742034 in words is "four hundred fifty-seven million, seven hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 131 153 171 262 306 323 342 393 601 646 786 969 1179 1202 1803 1938 2227 2358 2489 2907 3606 4454 4978 5409 5814 6681 7467 10217 10818 11419 13362 14934 20043 20434 22401 22838 30651 34257 40086 42313 44802 61302 68514 78731 84626 91953 102771 126939 157462 183906 194123 205542 236193 253878 380817 388246 472386 582369 708579 761634 1164738 1338427 1417158 1495889 1747107 2676854 2991778 3494214 4015281 4487667 8030562 8975334 12045843 13463001 24091686 25430113 26926002 50860226 76290339 152580678 228871017 457742034