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390626240 = 2651637489
BaseRepresentation
bin10111010010000…
…111101111000000
31000020000212110112
4113102013233000
51300000014430
6102432250452
712452161004
oct2722075700
91006025415
10390626240
11190553304
12aa9a0a28
1362c0bab4
1439c44704
1524461195
hex17487bc0

390626240 has 56 divisors (see below), whose sum is σ = 936010320. Its totient is φ = 155271168.

The previous prime is 390626213. The next prime is 390626261. The reversal of 390626240 is 42626093.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 390626197 and 390626206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48416 + ... + 55904.

It is an arithmetic number, because the mean of its divisors is an integer number (16714470).

Almost surely, 2390626240 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 390626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468005160).

390626240 is an abundant number, since it is smaller than the sum of its proper divisors (545384080).

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

390626240 is a wasteful number, since it uses less digits than its factorization.

390626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 390626240 is about 19764.2667458219. The cubic root of 390626240 is about 731.0052080526.

The spelling of 390626240 in words is "three hundred ninety million, six hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 163 320 326 652 815 1304 1630 2608 3260 5216 6520 7489 10432 13040 14978 26080 29956 37445 52160 59912 74890 119824 149780 239648 299560 479296 599120 1198240 1220707 2396480 2441414 4882828 6103535 9765656 12207070 19531312 24414140 39062624 48828280 78125248 97656560 195313120 390626240