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2545341304 = 231131979619
BaseRepresentation
bin1001011110110110…
…1101001101111000
320120101111201212011
42113231231031320
520203101410204
61100323255304
7120035021062
oct22755551570
96511451764
102545341304
111096862660
125b051a534
1331744621c
141a2094732
15ed6d5304
hex97b6d378

2545341304 has 64 divisors (see below), whose sum is σ = 5430297600. Its totient is φ = 1107993600.

The previous prime is 2545341287. The next prime is 2545341311. The reversal of 2545341304 is 4031435452.

2545341304 = T7352 + T7353 + ... + T7444.

It is a super-4 number, since 4×25453413044 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259807 + ... + 269425.

It is an arithmetic number, because the mean of its divisors is an integer number (84848400).

Almost surely, 22545341304 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 2545341304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715148800).

2545341304 is an abundant number, since it is smaller than the sum of its proper divisors (2884956296).

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

2545341304 is a wasteful number, since it uses less digits than its factorization.

2545341304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 2545341304 is about 50451.3756403133. The cubic root of 2545341304 is about 1365.3647142721.

Adding to 2545341304 its reverse (4031435452), we get a palindrome (6576776756).

The spelling of 2545341304 in words is "two billion, five hundred forty-five million, three hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 31 44 62 88 97 124 194 248 341 388 682 776 1067 1364 2134 2728 3007 4268 6014 8536 9619 12028 19238 24056 33077 38476 66154 76952 105809 132308 211618 264616 298189 423236 596378 846472 933043 1192756 1866086 2385512 3280079 3732172 6560158 7464344 10263473 13120316 20526946 26240632 28924333 41053892 57848666 82107784 115697332 231394664 318167663 636335326 1272670652 2545341304