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4534072312 = 2372112175623
BaseRepresentation
bin1000011100100000…
…00111001111111000
3102200222122201221011
410032100013033320
533241210303222
62025524523304
7220233656500
oct41620071770
912628581834
104534072312
111a17402700
12a66550534
13573476233
14310258a00
151b80bdc77
hex10e4073f8

4534072312 has 144 divisors (see below), whose sum is σ = 11511596880. Its totient is φ = 1662312960.

The previous prime is 4534072303. The next prime is 4534072313. The reversal of 4534072312 is 2132704354.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4534072313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 803533 + ... + 809155.

It is an arithmetic number, because the mean of its divisors is an integer number (79941645).

Almost surely, 24534072312 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 4534072312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755798440).

4534072312 is an abundant number, since it is smaller than the sum of its proper divisors (6977524568).

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

4534072312 is a wasteful number, since it uses less digits than its factorization.

4534072312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 4534072312 is about 67335.5204331265. The cubic root of 4534072312 is about 1655.1199776720.

Adding to 4534072312 its reverse (2132704354), we get a palindrome (6666776666).

The spelling of 4534072312 in words is "four billion, five hundred thirty-four million, seventy-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 98 119 121 136 154 187 196 238 242 308 374 392 476 484 539 616 748 833 847 952 968 1078 1309 1496 1666 1694 2057 2156 2618 3332 3388 4114 4312 5236 5623 5929 6664 6776 8228 9163 10472 11246 11858 14399 16456 18326 22492 23716 28798 36652 39361 44984 47432 57596 61853 73304 78722 95591 100793 115192 123706 157444 191182 201586 247412 275527 314888 382364 403172 432971 494824 551054 669137 680383 764728 806344 865942 1051501 1102108 1338274 1360766 1731884 2103002 2204216 2676548 2721532 3030797 3463768 4206004 4683959 4762681 5353096 5443064 6061594 7360507 8412008 9367918 9525362 11566511 12123188 14721014 18735836 19050724 23133022 24246376 29442028 33338767 37471672 38101448 46266044 51523549 58884056 66677534 80965577 92532088 103047098 133355068 161931154 206094196 266710136 323862308 412188392 566759039 647724616 1133518078 2267036156 4534072312