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390204976 = 24719296323
BaseRepresentation
bin10111010000100…
…000111000110000
31000012020110121011
4113100200320300
51244343024401
6102415240304
712445454560
oct2720407060
91005213534
10390204976
11190295857
12aa819094
1362ac2125
1439b74da0
15243cb451
hex17420e30

390204976 has 80 divisors (see below), whose sum is σ = 941011200. Its totient is φ = 152941824.

The previous prime is 390204949. The next prime is 390204979. The reversal of 390204976 is 679402093.

It is not an unprimeable number, because it can be changed into a prime (390204979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58551 + ... + 64873.

It is an arithmetic number, because the mean of its divisors is an integer number (11762640).

Almost surely, 2390204976 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 390204976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470505600).

390204976 is an abundant number, since it is smaller than the sum of its proper divisors (550806224).

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

390204976 is a wasteful number, since it uses less digits than its factorization.

390204976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 390204976 is about 19753.6066580258. The cubic root of 390204976 is about 730.7423336281.

The spelling of 390204976 in words is "three hundred ninety million, two hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 56 58 76 112 116 133 152 203 232 266 304 406 464 532 551 812 1064 1102 1624 2128 2204 3248 3857 4408 6323 7714 8816 12646 15428 25292 30856 44261 50584 61712 88522 101168 120137 177044 183367 240274 354088 366734 480548 708176 733468 840959 961096 1283569 1466936 1681918 1922192 2567138 2933872 3363836 3483973 5134276 6727672 6967946 10268552 13455344 13935892 20537104 24387811 27871784 48775622 55743568 97551244 195102488 390204976