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434304920 = 23571551089
BaseRepresentation
bin11001111000101…
…111011110011000
31010021012222100102
4121320233132120
51342140224140
6111032354532
713522350050
oct3170573630
91107188312
10434304920
11203176795
12101545a48
136bc92b7a
1441974560
15281dce15
hex19e2f798

434304920 has 32 divisors (see below), whose sum is σ = 1116784800. Its totient is φ = 148904448.

The previous prime is 434304919. The next prime is 434304943. The reversal of 434304920 is 29403434.

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 7 ways as a sum of consecutive naturals, for example, 775265 + ... + 775824.

It is an arithmetic number, because the mean of its divisors is an integer number (34899525).

Almost surely, 2434304920 is an apocalyptic number.

434304920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434304920 is an abundant number, since it is smaller than the sum of its proper divisors (682479880).

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

434304920 is a wasteful number, since it uses less digits than its factorization.

434304920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551107 (or 1551103 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 434304920 is about 20839.9836852143. The cubic root of 434304920 is about 757.2946983269.

The spelling of 434304920 in words is "four hundred thirty-four million, three hundred four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1551089 3102178 6204356 7755445 10857623 12408712 15510890 21715246 31021780 43430492 54288115 62043560 86860984 108576230 217152460 434304920