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390341448 = 233272110641
BaseRepresentation
bin10111010001000…
…010001101001000
31000012111101210200
4113101002031020
51244411411243
6102422212200
712446563500
oct2721021510
91005441720
10390341448
11190379342
12aa884060
1362b3c293
1439baca00
1524406ad3
hex17442348

390341448 has 72 divisors (see below), whose sum is σ = 1229785830. Its totient is φ = 111525120.

The previous prime is 390341431. The next prime is 390341459. The reversal of 390341448 is 844143093.

It can be written as a sum of positive squares in only one way, i.e., 339959844 + 50381604 = 18438^2 + 7098^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 51793 + ... + 58848.

Almost surely, 2390341448 is an apocalyptic number.

It is an amenable number.

390341448 is an abundant number, since it is smaller than the sum of its proper divisors (839444382).

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

390341448 is a wasteful number, since it uses less digits than its factorization.

390341448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110667 (or 110653 counting only the distinct ones).

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

The square root of 390341448 is about 19757.0607125655. The cubic root of 390341448 is about 730.8275147081.

The spelling of 390341448 in words is "three hundred ninety million, three hundred forty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 110641 221282 331923 442564 663846 774487 885128 995769 1327692 1548974 1991538 2323461 2655384 3097948 3983076 4646922 5421409 6195896 6970383 7966152 9293844 10842818 13940766 16264227 18587688 21685636 27881532 32528454 43371272 48792681 55763064 65056908 97585362 130113816 195170724 390341448