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45454000340 = 22572156729599
BaseRepresentation
bin101010010101010001…
…010000000011010100
311100022202201110110002
4222111101100003110
51221042211002330
632514204550432
73166251425300
oct522521200324
9140282643402
1045454000340
1118305664241
128986552418
134394cab8b8
1422b2a8cd00
1512b071be45
hexa954500d4

45454000340 has 72 divisors (see below), whose sum is σ = 111112243200. Its totient is φ = 15573757248.

The previous prime is 45454000321. The next prime is 45454000363. The reversal of 45454000340 is 4300045454.

It is a super-2 number, since 2×454540003402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1520861 + ... + 1550459.

It is an arithmetic number, because the mean of its divisors is an integer number (1543225600).

Almost surely, 245454000340 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 45454000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55556121600).

45454000340 is an abundant number, since it is smaller than the sum of its proper divisors (65658242860).

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

45454000340 is a wasteful number, since it uses less digits than its factorization.

45454000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31189 (or 31180 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 45454000340 its reverse (4300045454), we get a palindrome (49754045794).

The spelling of 45454000340 in words is "forty-five billion, four hundred fifty-four million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1567 3134 6268 7835 10969 15670 21938 29599 31340 43876 54845 59198 76783 109690 118396 147995 153566 207193 219380 295990 307132 383915 414386 591980 767830 828772 1035965 1450351 1535660 2071930 2900702 4143860 5801404 7251755 14503510 29007020 46381633 92763266 185526532 231908165 324671431 463816330 649342862 927632660 1298685724 1623357155 2272700017 3246714310 4545400034 6493428620 9090800068 11363500085 22727000170 45454000340