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440334302034 = 231137535636043
BaseRepresentation
bin1100110100001011111…
…10000011101101010010
31120002120122200012200010
412122011332003231102
524203301040131114
6534141540135350
743545615545214
oct6320576035522
91502518605603
10440334302034
1115a821263510
127140b097556
13326a5a3b853
1417452d125b4
15b6c2917c59
hex6685f83b52

440334302034 has 128 divisors (see below), whose sum is σ = 1007264222208. Its totient is φ = 127131413760.

The previous prime is 440334302027. The next prime is 440334302063. The reversal of 440334302034 is 430203433044.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 440334301992 and 440334302010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72863817 + ... + 72869859.

It is an arithmetic number, because the mean of its divisors is an integer number (7869251736).

Almost surely, 2440334302034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440334302034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503632111104).

440334302034 is an abundant number, since it is smaller than the sum of its proper divisors (566929920174).

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

440334302034 is a wasteful number, since it uses less digits than its factorization.

440334302034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712.

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 440334302034 its reverse (430203433044), we get a palindrome (870537735078).

The spelling of 440334302034 in words is "four hundred forty billion, three hundred thirty-four million, three hundred two thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 37 53 66 74 106 111 159 222 318 407 563 583 814 1126 1166 1221 1689 1749 1961 2442 3378 3498 3922 5883 6043 6193 11766 12086 12386 18129 18579 20831 21571 29839 36258 37158 41662 43142 59678 62493 64713 66473 89517 124986 129426 132946 179034 199419 223591 229141 320279 328229 398838 447182 458282 640558 656458 670773 687423 960837 984687 1104043 1341546 1374846 1921674 1969374 2208086 2459501 3312129 3402209 3523069 4919002 6624258 6804418 7046138 7378503 10206627 10569207 11850323 12144473 14757006 20413254 21138414 23700646 24288946 35550969 36433419 37424299 71101938 72866838 74848598 112272897 125881733 130353553 180317077 224545794 251763466 260707106 360634154 377645199 391060659 540951231 755290398 782121318 1081902462 1384699063 1983487847 2769398126 3966975694 4154097189 5950463541 6671731849 8308194378 11900927082 13343463698 20015195547 40030391094 73389050339 146778100678 220167151017 440334302034