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390370032 = 2432131511381
BaseRepresentation
bin10111010001001…
…001001011110000
31000012112212000100
4113101021023300
51244413320112
6102422552400
712450043023
oct2721111360
91005485010
10390370032
11190398868
12aa898700
1362b4c2b0
1439bb91ba
15244102dc
hex174492f0

390370032 has 120 divisors (see below), whose sum is σ = 1185181088. Its totient is φ = 119232000.

The previous prime is 390370027. The next prime is 390370033. The reversal of 390370032 is 230073093.

It is a junction number, because it is equal to n+sod(n) for n = 390369978 and 390370005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390370033) 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 23 ways as a sum of consecutive naturals, for example, 281982 + ... + 283362.

Almost surely, 2390370032 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 390370032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592590544).

390370032 is an abundant number, since it is smaller than the sum of its proper divisors (794811056).

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

390370032 is a wasteful number, since it uses less digits than its factorization.

390370032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 390370032 is about 19757.7840862785. The cubic root of 390370032 is about 730.8453533328.

The spelling of 390370032 in words is "three hundred ninety million, three hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 151 156 208 234 302 312 453 468 604 624 906 936 1208 1359 1381 1812 1872 1963 2416 2718 2762 3624 3926 4143 5436 5524 5889 7248 7852 8286 10872 11048 11778 12429 15704 16572 17667 17953 21744 22096 23556 24858 31408 33144 35334 35906 47112 49716 53859 66288 70668 71812 94224 99432 107718 141336 143624 161577 198864 208531 215436 282672 287248 323154 417062 430872 625593 646308 834124 861744 1251186 1292616 1668248 1876779 2502372 2585232 2710903 3336496 3753558 5004744 5421806 7507116 8132709 10009488 10843612 15014232 16265418 21687224 24398127 30028464 32530836 43374448 48796254 65061672 97592508 130123344 195185016 390370032