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434401101084 = 2234315134716067
BaseRepresentation
bin1100101001001000101…
…00101100010100011100
31112112021011022101001210
412110210110230110130
524104123140213314
6531321111104420
743245602302236
oct6244424542434
91475234271053
10434401101084
11158257107855
1270234072110
1331c6b760662
141704cd31256
15b476ac7559
hex652452c51c

434401101084 has 96 divisors (see below), whose sum is σ = 1047117367296. Its totient is φ = 140082667200.

The previous prime is 434401101083. The next prime is 434401101103. The reversal of 434401101084 is 480101104434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434401101083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27028819 + ... + 27044885.

It is an arithmetic number, because the mean of its divisors is an integer number (10907472576).

Almost surely, 2434401101084 is an apocalyptic number.

It is an amenable number.

434401101084 is an abundant number, since it is smaller than the sum of its proper divisors (612716266212).

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

434401101084 is a wasteful number, since it uses less digits than its factorization.

434401101084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16615 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 434401101084 in words is "four hundred thirty-four billion, four hundred one million, one hundred one thousand, eighty-four".

Divisors: 1 2 3 4 6 12 43 86 129 151 172 258 302 347 453 516 604 694 906 1041 1388 1812 2082 4164 6493 12986 14921 16067 19479 25972 29842 32134 38958 44763 48201 52397 59684 64268 77916 89526 96402 104794 157191 179052 192804 209588 314382 628764 690881 1381762 2072643 2253071 2426117 2763524 4145286 4506142 4852234 5575249 6759213 7278351 8290572 9012284 9704468 11150498 13518426 14556702 16725747 22300996 27036852 29113404 33451494 66902988 104323031 208646062 239735707 312969093 417292124 479471414 625938186 719207121 841862599 958942828 1251876372 1438414242 1683725198 2525587797 2876828484 3367450396 5051175594 10102351188 36200091757 72400183514 108600275271 144800367028 217200550542 434401101084