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434152044 = 2232531391637
BaseRepresentation
bin11001111000001…
…010001001101100
31010020221012122100
4121320022021230
51342120331134
6111025215100
713521142254
oct3170121154
91106835570
10434152044
11203081947
12101491490
136bc3b401
1441934964
15281ac999
hex19e0a26c

434152044 has 72 divisors (see below), whose sum is σ = 1126878480. Its totient is φ = 140879232.

The previous prime is 434152039. The next prime is 434152051. The reversal of 434152044 is 440251434.

It is a happy number.

434152044 is a `hidden beast` number, since 43 + 415 + 204 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 434151999 and 434152017.

It is an unprimeable number.

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, 264394 + ... + 266030.

It is an arithmetic number, because the mean of its divisors is an integer number (15651090).

Almost surely, 2434152044 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 434152044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563439240).

434152044 is an abundant number, since it is smaller than the sum of its proper divisors (692726436).

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

434152044 is a wasteful number, since it uses less digits than its factorization.

434152044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 434152044 is about 20836.3155092257. The cubic root of 434152044 is about 757.2058315994.

The spelling of 434152044 in words is "four hundred thirty-four million, one hundred fifty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 139 159 212 278 318 417 477 556 636 834 954 1251 1637 1668 1908 2502 3274 4911 5004 6548 7367 9822 14733 14734 19644 22101 29466 29468 44202 58932 66303 86761 88404 132606 173522 227543 260283 265212 347044 455086 520566 682629 780849 910172 1041132 1365258 1561698 2047887 2730516 3123396 4095774 8191548 12059779 24119558 36179337 48239116 72358674 108538011 144717348 217076022 434152044