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1904000340 = 22351121715427
BaseRepresentation
bin111000101111100…
…1011110101010100
311220200201020110010
41301133023311110
512344411002330
6512533200220
765116510254
oct16137136524
94820636403
101904000340
11897838700
12451790070
13244604628
14140c29964
15b224d3b0
hex717cbd54

1904000340 has 144 divisors (see below), whose sum is σ = 6205018176. Its totient is φ = 434396160.

The previous prime is 1904000333. The next prime is 1904000363. The reversal of 1904000340 is 430004091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115707 + ... + 131133.

It is an arithmetic number, because the mean of its divisors is an integer number (43090404).

Almost surely, 21904000340 is an apocalyptic number.

1904000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102509088).

1904000340 is an abundant number, since it is smaller than the sum of its proper divisors (4301017836).

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

1904000340 is a wasteful number, since it uses less digits than its factorization.

1904000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15478 (or 15465 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1904000340 is about 43634.8523545113. The cubic root of 1904000340 is about 1239.4309607239.

The spelling of 1904000340 in words is "one billion, nine hundred four million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 15427 20570 24684 30854 30855 41140 46281 61708 61710 77135 92562 123420 154270 169697 185124 231405 262259 308540 339394 462810 509091 524518 678788 786777 848485 925620 1018182 1049036 1311295 1573554 1696970 1866667 2036364 2545455 2622590 2884849 3147108 3393940 3733334 3933885 5090910 5245180 5600001 5769698 7466668 7867770 8654547 9333335 10181820 11200002 11539396 14424245 15735540 17309094 18666670 22400004 28000005 28848490 31733339 34618188 37333340 43272735 56000010 57696980 63466678 86545470 95200017 112000020 126933356 158666695 173090940 190400034 317333390 380800068 476000085 634666780 952000170 1904000340