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434420334100 = 225217924127653
BaseRepresentation
bin1100101001001010111…
…10000011111000010100
31112112022111111111210201
412110211132003320110
524104143101142400
6531323035230244
743246224625204
oct6244536037024
91475274444721
10434420334100
11158266a53905
127023a5a8384
1331c7273593c
14170516da404
15b47862606a
hex6525783e14

434420334100 has 72 divisors (see below), whose sum is σ = 998288714808. Its totient is φ = 163522867200.

The previous prime is 434420334059. The next prime is 434420334119. The reversal of 434420334100 is 1433024434.

It can be written as a sum of positive squares in 12 ways, for example, as 66075730704 + 368344603396 = 257052^2 + 606914^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15695874 + ... + 15723526.

It is an arithmetic number, because the mean of its divisors is an integer number (13865121039).

Almost surely, 2434420334100 is an apocalyptic number.

It is an amenable number.

434420334100 is an abundant number, since it is smaller than the sum of its proper divisors (563868380708).

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

434420334100 is a wasteful number, since it uses less digits than its factorization.

434420334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36925 (or 36918 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 434420334100 its reverse (1433024434), we get a palindrome (435853358534).

The spelling of 434420334100 in words is "four hundred thirty-four billion, four hundred twenty million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 9241 18482 27653 36964 46205 55306 92410 110612 138265 157097 184820 231025 276530 314194 462050 470101 553060 628388 691325 785485 924100 940202 1382650 1570970 1880404 2350505 2765300 3141940 3927425 4701010 7854850 9402020 11752525 15709700 23505050 47010100 255541373 511082746 1022165492 1277706865 2555413730 4344203341 5110827460 6388534325 8688406682 12777068650 17376813364 21721016705 25554137300 43442033410 86884066820 108605083525 217210167050 434420334100