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258433380 = 223251435741
BaseRepresentation
bin11110110011101…
…10000101100100
3200000021202221200
433121312011210
51012124332010
641351042500
76255435042
oct1731660544
9600252850
10258433380
11122973907
1272670430
134170617a
1426473392
1517a4ccc0
hexf676164

258433380 has 36 divisors (see below), whose sum is σ = 783915132. Its totient is φ = 68915520.

The previous prime is 258433363. The next prime is 258433381. The reversal of 258433380 is 83334852.

It can be written as a sum of positive squares in 2 ways, for example, as 50381604 + 208051776 = 7098^2 + 14424^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (258433381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717691 + ... + 718050.

Almost surely, 2258433380 is an apocalyptic number.

258433380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258433380 is an abundant number, since it is smaller than the sum of its proper divisors (525481752).

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

258433380 is a wasteful number, since it uses less digits than its factorization.

258433380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435756 (or 1435751 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 258433380 is about 16075.8632738650. The cubic root of 258433380 is about 636.9659287112.

The spelling of 258433380 in words is "two hundred fifty-eight million, four hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1435741 2871482 4307223 5742964 7178705 8614446 12921669 14357410 17228892 21536115 25843338 28714820 43072230 51686676 64608345 86144460 129216690 258433380