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258434300 = 22524360101
BaseRepresentation
bin11110110011101…
…10010011111100
3200000021211012202
433121312103330
51012124344200
641351051032
76255440525
oct1731662374
9600254182
10258434300
11122974573
1272670a78
1341706707
142647384c
1517a4d1d5
hexf6764fc

258434300 has 36 divisors (see below), whose sum is σ = 573853896. Its totient is φ = 100968000.

The previous prime is 258434299. The next prime is 258434329. The reversal of 258434300 is 3434852.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25751 + ... + 34350.

It is an arithmetic number, because the mean of its divisors is an integer number (15940386).

Almost surely, 2258434300 is an apocalyptic number.

258434300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258434300 is an abundant number, since it is smaller than the sum of its proper divisors (315419596).

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

258434300 is a wasteful number, since it uses less digits than its factorization.

258434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60158 (or 60151 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 258434300 is about 16075.8918881660. The cubic root of 258434300 is about 636.9666845578.

The spelling of 258434300 in words is "two hundred fifty-eight million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 60101 120202 240404 300505 601010 1202020 1502525 2584343 3005050 5168686 6010100 10337372 12921715 25843430 51686860 64608575 129217150 258434300