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434320104030 = 235374914991597
BaseRepresentation
bin1100101000111110111…
…11101101101001011110
31112112001111220021222220
412110133133231221132
524103441421312110
6531305055050210
743243566654231
oct6243737555136
91475044807886
10434320104030
1115821541553a
1270210b10966
1331c57a414c7
1417042289418
15b46e928370
hex651f7eda5e

434320104030 has 128 divisors (see below), whose sum is σ = 1075543488000. Its totient is φ = 112163304960.

The previous prime is 434320104011. The next prime is 434320104037. The reversal of 434320104030 is 30401023434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434320104037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271959192 + ... + 271960788.

It is an arithmetic number, because the mean of its divisors is an integer number (8402683500).

Almost surely, 2434320104030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434320104030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537771744000).

434320104030 is an abundant number, since it is smaller than the sum of its proper divisors (641223383970).

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

434320104030 is a wasteful number, since it uses less digits than its factorization.

434320104030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 434320104030 its reverse (30401023434), we get a palindrome (464721127464).

The spelling of 434320104030 in words is "four hundred thirty-four billion, three hundred twenty million, one hundred four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 491 499 555 982 998 1110 1473 1497 1597 2455 2495 2946 2994 3194 4791 4910 4990 7365 7485 7985 9582 14730 14970 15970 18167 18463 23955 36334 36926 47910 54501 55389 59089 90835 92315 109002 110778 118178 177267 181670 184630 245009 272505 276945 295445 354534 490018 545010 553890 590890 735027 784127 796903 886335 1225045 1470054 1568254 1593806 1772670 2352381 2390709 2450090 3675135 3920635 3984515 4704762 4781418 7350270 7841270 7969030 9065333 11761905 11953545 18130666 23523810 23907090 27195999 29012699 29485411 45326665 54391998 58025398 58970822 87038097 88456233 90653330 135979995 145063495 147427055 174076194 176912466 271959990 290126990 294854110 391279373 435190485 442281165 782558746 870380970 884562330 1173838119 1956396865 2347676238 3912793730 5869190595 11738381190 14477336801 28954673602 43432010403 72386684005 86864020806 144773368010 217160052015 434320104030