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258073340 = 22572380147
BaseRepresentation
bin11110110000111…
…10001011111100
3122222121111001212
433120132023330
51012031321330
641335223552
76252405260
oct1730361374
9588544055
10258073340
11122748358
1272517bb8
134160b325
14263bc0a0
15179cb295
hexf61e2fc

258073340 has 48 divisors (see below), whose sum is σ = 646313472. Its totient is φ = 84634176.

The previous prime is 258073337. The next prime is 258073367. The reversal of 258073340 is 43370852.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 258073297 and 258073306.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36854 + ... + 43293.

It is an arithmetic number, because the mean of its divisors is an integer number (13464864).

Almost surely, 2258073340 is an apocalyptic number.

258073340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258073340 is an abundant number, since it is smaller than the sum of its proper divisors (388240132).

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

258073340 is a wasteful number, since it uses less digits than its factorization.

258073340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80186 (or 80184 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 258073340 is about 16064.6612164714. The cubic root of 258073340 is about 636.6699919724.

The spelling of 258073340 in words is "two hundred fifty-eight million, seventy-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 80147 160294 320588 400735 561029 801470 1122058 1602940 1843381 2244116 2805145 3686762 5610290 7373524 9216905 11220580 12903667 18433810 25807334 36867620 51614668 64518335 129036670 258073340