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434045136 = 24372315953
BaseRepresentation
bin11001110111110…
…000000011010000
31010020201202222210
4121313300003100
51342103421021
6111023032120
713520215500
oct3167600320
91106652883
10434045136
11203009598
1210143b640
136bc01855
1441907a00
152818ae76
hex19df00d0

434045136 has 120 divisors (see below), whose sum is σ = 1346651904. Its totient is φ = 119992320.

The previous prime is 434045119. The next prime is 434045137. The reversal of 434045136 is 631540434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434045137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69936 + ... + 75888.

Almost surely, 2434045136 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 434045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673325952).

434045136 is an abundant number, since it is smaller than the sum of its proper divisors (912606768).

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

434045136 is a wasteful number, since it uses less digits than its factorization.

434045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 434045136 is about 20833.7499265015. The cubic root of 434045136 is about 757.1436736467.

The spelling of 434045136 in words is "four hundred thirty-four million, forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 5953 6076 9114 10416 11906 12152 17859 18228 23812 24304 35718 36456 41671 47624 71436 72912 83342 95248 125013 142872 166684 184543 250026 285744 291697 333368 369086 500052 553629 583394 666736 738172 875091 1000104 1107258 1166788 1291801 1476344 1750182 2000208 2214516 2333576 2583602 2952688 3500364 3875403 4429032 4667152 5167204 7000728 7750806 8858064 9042607 10334408 14001456 15501612 18085214 20668816 27127821 31003224 36170428 54255642 62006448 72340856 108511284 144681712 217022568 434045136