[go: up one dir, main page]

Search a number
-
+
3313434320 = 2457191092857
BaseRepresentation
bin1100010101111110…
…1111111011010000
322112220210220101122
43011133233323100
523241214344240
61304442221412
7145052504240
oct30537577320
98486726348
103313434320
111450390279
127857b4868
1340a607131
142360b5b20
15145d584b5
hexc57efed0

3313434320 has 160 divisors (see below), whose sum is σ = 9355948800. Its totient is φ = 1065996288.

The previous prime is 3313434259. The next prime is 3313434331. The reversal of 3313434320 is 234343133.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3313434320.

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, 1158332 + ... + 1161188.

It is an arithmetic number, because the mean of its divisors is an integer number (58474680).

Almost surely, 23313434320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677974400).

3313434320 is an abundant number, since it is smaller than the sum of its proper divisors (6042514480).

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

3313434320 is a wasteful number, since it uses less digits than its factorization.

3313434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 3313434320 is about 57562.4384473069. The cubic root of 3313434320 is about 1490.8231297130.

Adding to 3313434320 its reverse (234343133), we get a palindrome (3547777453).

The spelling of 3313434320 in words is "three billion, three hundred thirteen million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 109 112 133 140 152 190 218 266 280 304 380 436 532 545 560 665 760 763 872 1064 1090 1330 1520 1526 1744 2071 2128 2180 2660 2857 3052 3815 4142 4360 5320 5714 6104 7630 8284 8720 10355 10640 11428 12208 14285 14497 15260 16568 19999 20710 22856 28570 28994 30520 33136 39998 41420 45712 54283 57140 57988 61040 72485 79996 82840 99995 108566 114280 115976 144970 159992 165680 199990 217132 228560 231952 271415 289940 311413 319984 379981 399980 434264 542830 579880 622826 759962 799960 868528 1085660 1159760 1245652 1519924 1557065 1599920 1899905 2171320 2179891 2491304 3039848 3114130 3799810 4342640 4359782 4982608 5916847 6079696 6228260 7599620 8719564 10899455 11833694 12456520 15199240 17439128 21798910 23667388 24913040 29584235 30398480 34878256 41417929 43597820 47334776 59168470 82835858 87195640 94669552 118336940 165671716 174391280 207089645 236673880 331343432 414179290 473347760 662686864 828358580 1656717160 3313434320