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434072412 = 223341167587
BaseRepresentation
bin11001110111110…
…110101101011100
31010020210011102000
4121313312231130
51342110304122
6111023402300
713520361144
oct3167665534
91106704360
10434072412
11203028034
12101453390
136bc110a7
1441913924
15281940ac
hex19df6b5c

434072412 has 96 divisors (see below), whose sum is σ = 1161699840. Its totient is φ = 140077440.

The previous prime is 434072393. The next prime is 434072449. The reversal of 434072412 is 214270434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739183 + ... + 739769.

It is an arithmetic number, because the mean of its divisors is an integer number (12101040).

Almost surely, 2434072412 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 434072412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580849920).

434072412 is an abundant number, since it is smaller than the sum of its proper divisors (727627428).

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

434072412 is a wasteful number, since it uses less digits than its factorization.

434072412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 434072412 is about 20834.4045271277. The cubic root of 434072412 is about 757.1595333017.

The spelling of 434072412 in words is "four hundred thirty-four million, seventy-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 167 246 334 369 492 501 587 668 738 1002 1107 1174 1476 1503 1761 2004 2214 2348 3006 3522 4428 4509 5283 6012 6847 7044 9018 10566 13694 15849 18036 20541 21132 24067 27388 31698 41082 48134 61623 63396 72201 82164 96268 98029 123246 144402 184869 196058 216603 246492 288804 294087 369738 392116 433206 588174 649809 739476 866412 882261 1176348 1299618 1764522 2599236 2646783 3529044 4019189 5293566 8038378 10587132 12057567 16076756 24115134 36172701 48230268 72345402 108518103 144690804 217036206 434072412