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484577340 = 2235132327011
BaseRepresentation
bin11100111000100…
…001000000111100
31020202211002010220
4130320201000330
51443022433330
6120030101340
715002560632
oct3470410074
91222732126
10484577340
11229593145
1211634a850
1379515270
14484dd352
152c81d710
hex1ce2103c

484577340 has 96 divisors (see below), whose sum is σ = 1524773376. Its totient is φ = 114090240.

The previous prime is 484577297. The next prime is 484577369. The reversal of 484577340 is 43775484.

It is a junction number, because it is equal to n+sod(n) for n = 484577292 and 484577301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4435 + ... + 31445.

It is an arithmetic number, because the mean of its divisors is an integer number (15883056).

Almost surely, 2484577340 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 484577340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762386688).

484577340 is an abundant number, since it is smaller than the sum of its proper divisors (1040196036).

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

484577340 is a wasteful number, since it uses less digits than its factorization.

484577340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27059 (or 27057 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 484577340 is about 22013.1174530097. The cubic root of 484577340 is about 785.4545030504.

The spelling of 484577340 in words is "four hundred eighty-four million, five hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2990 3588 4485 5980 8970 17940 27011 54022 81033 108044 135055 162066 270110 324132 351143 405165 540220 621253 702286 810330 1053429 1242506 1404572 1620660 1755715 1863759 2106858 2485012 3106265 3511430 3727518 4213716 5267145 6212530 7022860 7455036 8076289 9318795 10534290 12425060 16152578 18637590 21068580 24228867 32305156 37275180 40381445 48457734 80762890 96915468 121144335 161525780 242288670 484577340