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74430820 = 22529181709
BaseRepresentation
bin1000110111110…
…11100101100100
312012001110220001
410123323211210
5123023241240
611215151044
71562436322
oct433734544
9165043801
1074430820
1139017a82
1220b15484
1312560509
149c56d12
15680389a
hex46fb964

74430820 has 48 divisors (see below), whose sum is σ = 162817200. Its totient is φ = 28546560.

The previous prime is 74430799. The next prime is 74430823. The reversal of 74430820 is 2803447.

It can be written as a sum of positive squares in 8 ways, for example, as 24049216 + 50381604 = 4904^2 + 7098^2 .

It is not an unprimeable number, because it can be changed into a prime (74430823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104626 + ... + 105334.

It is an arithmetic number, because the mean of its divisors is an integer number (3392025).

Almost surely, 274430820 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 74430820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81408600).

74430820 is an abundant number, since it is smaller than the sum of its proper divisors (88386380).

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

74430820 is a wasteful number, since it uses less digits than its factorization.

74430820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 74430820 is about 8627.3298302545. The cubic root of 74430820 is about 420.6468113937.

The spelling of 74430820 in words is "seventy-four million, four hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 290 362 580 709 724 905 1418 1810 2836 3545 3620 5249 7090 10498 14180 20561 20996 26245 41122 52490 82244 102805 104980 128329 205610 256658 411220 513316 641645 1283290 2566580 3721541 7443082 14886164 18607705 37215410 74430820