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472790340 = 2232511733271
BaseRepresentation
bin11100001011100…
…011010101000100
31012221122020102100
4130023203111010
51432013242330
6114525312100
714500436331
oct3413432504
91187566370
10472790340
11222972420
12112405630
1376c491c9
1446b11988
152b791060
hex1c2e3544

472790340 has 144 divisors (see below), whose sum is σ = 1586422656. Its totient is φ = 113011200.

The previous prime is 472790317. The next prime is 472790341. The reversal of 472790340 is 43097274.

472790340 is a `hidden beast` number, since 47 + 279 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 472790295 and 472790304.

It is not an unprimeable number, because it can be changed into a prime (472790341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 142905 + ... + 146175.

It is an arithmetic number, because the mean of its divisors is an integer number (11016824).

Almost surely, 2472790340 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 472790340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793211328).

472790340 is an abundant number, since it is smaller than the sum of its proper divisors (1113632316).

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

472790340 is a wasteful number, since it uses less digits than its factorization.

472790340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 472790340 is about 21743.7425481447. The cubic root of 472790340 is about 779.0336158121.

The spelling of 472790340 in words is "four hundred seventy-two million, seven hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 73 90 99 110 132 146 165 180 198 219 220 292 330 365 396 438 495 657 660 730 803 876 990 1095 1314 1460 1606 1980 2190 2409 2628 3212 3271 3285 4015 4380 4818 6542 6570 7227 8030 9636 9813 12045 13084 13140 14454 16060 16355 19626 24090 28908 29439 32710 35981 36135 39252 48180 49065 58878 65420 71962 72270 98130 107943 117756 143924 144540 147195 179905 196260 215886 238783 294390 323829 359810 431772 477566 539715 588780 647658 716349 719620 955132 1079430 1193915 1295316 1432698 1619145 2149047 2158860 2387830 2626613 2865396 3238290 3581745 4298094 4775660 5253226 6476580 7163490 7879839 8596188 10506452 10745235 13133065 14326980 15759678 21490470 23639517 26266130 31519356 39399195 42980940 47279034 52532260 78798390 94558068 118197585 157596780 236395170 472790340