Search a number
-
+
334105452120 = 2335111913321589
BaseRepresentation
bin1001101110010100011…
…11001001111001011000
31011221101101100111200110
410313022033021321120
520433221443431440
6413252543204320
733065305325346
oct4671217117130
91157341314613
10334105452120
111197698aa270
12549032a66a0
13256769176cb
1412256910996
158a5693d080
hex4dca3c9e58

334105452120 has 128 divisors (see below), whose sum is σ = 1150985376000. Its totient is φ = 76732346880.

The previous prime is 334105452067. The next prime is 334105452143. The reversal of 334105452120 is 21254501433.

334105452120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341054521202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6635715 + ... + 6685874.

It is an arithmetic number, because the mean of its divisors is an integer number (8992073250).

Almost surely, 2334105452120 is an apocalyptic number.

334105452120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334105452120 is an abundant number, since it is smaller than the sum of its proper divisors (816879923880).

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

334105452120 is a wasteful number, since it uses less digits than its factorization.

334105452120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321633 (or 13321629 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 334105452120 its reverse (21254501433), we get a palindrome (355359953553).

The spelling of 334105452120 in words is "three hundred thirty-four billion, one hundred five million, four hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 13321589 26643178 39964767 53286356 66607945 79929534 106572712 133215890 146537479 159859068 199823835 253110191 266431780 293074958 319718136 399647670 439612437 506220382 532863560 586149916 732687395 759330573 799295340 879224874 1012440764 1172299832 1265550955 1465374790 1518661146 1598590680 1758449748 2024881528 2198062185 2531101910 2784212101 2930749580 3037322292 3516899496 3796652865 4396124370 5062203820 5568424202 5861499160 6074644584 7593305730 8352636303 8792248740 10124407640 11136848404 13921060505 15186611460 16705272606 17584497480 22273696808 27842121010 30373222920 33410545212 41763181515 55684242020 66821090424 83526363030 111368484040 167052726060 334105452120