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390340096 = 293124593
BaseRepresentation
bin10111010001000…
…001111000000000
31000012111022221121
4113101001320000
51244411340341
6102422202024
712446556526
oct2721017000
91005438847
10390340096
11190378323
12aa883314
1362b3b793
1439bac316
15244064d1
hex17441e00

390340096 has 40 divisors (see below), whose sum is σ = 805109184. Its totient is φ = 188866560.

The previous prime is 390340091. The next prime is 390340103. The reversal of 390340096 is 690043093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390340091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3576 + ... + 28168.

Almost surely, 2390340096 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 390340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402554592).

390340096 is an abundant number, since it is smaller than the sum of its proper divisors (414769088).

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

390340096 is an equidigital number, since it uses as much as digits as its factorization.

390340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24642 (or 24626 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 390340096 is about 19757.0264969200. The cubic root of 390340096 is about 730.8266709341.

The spelling of 390340096 in words is "three hundred ninety million, three hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 15872 24593 49186 98372 196744 393488 762383 786976 1524766 1573952 3049532 3147904 6099064 6295808 12198128 12591616 24396256 48792512 97585024 195170048 390340096