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390040233 = 31132331137
BaseRepresentation
bin10111001111111…
…000101010101001
31000011221002121120
4113033320222221
51244322241413
6102411525453
712444200352
oct2717705251
91004832546
10390040233
11190193000
12aa759889
1362a6514b
1439b30d29
1524397723
hex173f8aa9

390040233 has 64 divisors (see below), whose sum is σ = 620642304. Its totient is φ = 217219200.

The previous prime is 390040219. The next prime is 390040243. The reversal of 390040233 is 332040093.

It is not a de Polignac number, because 390040233 - 212 = 390036137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390040213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2846941 + ... + 2847077.

It is an arithmetic number, because the mean of its divisors is an integer number (9697536).

Almost surely, 2390040233 is an apocalyptic number.

390040233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

390040233 is a deficient number, since it is larger than the sum of its proper divisors (230602071).

390040233 is a wasteful number, since it uses less digits than its factorization.

390040233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 390040233 is about 19749.4362704357. The cubic root of 390040233 is about 730.6394803094.

The spelling of 390040233 in words is "three hundred ninety million, forty thousand, two hundred thirty-three".

Divisors: 1 3 11 23 31 33 69 93 121 137 253 341 363 411 713 759 1023 1331 1507 2139 2783 3151 3751 3993 4247 4521 7843 8349 9453 11253 12741 16577 23529 30613 34661 41261 46717 49731 86273 91839 97681 103983 123783 140151 182347 258819 293043 381271 513887 547041 949003 1074491 1143813 1541661 2847009 3223473 4193981 5652757 11819401 12581943 16958271 35458203 130013411 390040233