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390341484 = 223313416781
BaseRepresentation
bin10111010001000…
…010001101101100
31000012111101212000
4113101002031230
51244411411414
6102422212300
712446563551
oct2721021554
91005441760
10390341484
11190379375
12aa884090
1362b3c2c0
1439baca28
1524406b09
hex1744236c

390341484 has 96 divisors (see below), whose sum is σ = 1116588480. Its totient is φ = 117158400.

The previous prime is 390341477. The next prime is 390341489. The reversal of 390341484 is 484143093.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (390341489) 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 31 ways as a sum of consecutive naturals, for example, 54174 + ... + 60954.

It is an arithmetic number, because the mean of its divisors is an integer number (11631130).

Almost surely, 2390341484 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 390341484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558294240).

390341484 is an abundant number, since it is smaller than the sum of its proper divisors (726246996).

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

390341484 is a wasteful number, since it uses less digits than its factorization.

390341484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 390341484 is about 19757.0616236322. The cubic root of 390341484 is about 730.8275371754.

The spelling of 390341484 in words is "three hundred ninety million, three hundred forty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 369 468 492 533 702 738 1066 1107 1404 1476 1599 2132 2214 3198 4428 4797 6396 6781 9594 13562 14391 19188 20343 27124 28782 40686 57564 61029 81372 88153 122058 176306 183087 244116 264459 278021 352612 366174 528918 556042 732348 793377 834063 1057836 1112084 1586754 1668126 2380131 2502189 3173508 3336252 3614273 4760262 5004378 7228546 7506567 9520524 10008756 10842819 14457092 15013134 21685638 30026268 32528457 43371276 65056914 97585371 130113828 195170742 390341484