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1904352030 = 2325713612221
BaseRepresentation
bin111000110000010…
…0001101100011110
311220201101002212200
41301200201230132
512400003231110
6512544512330
765122503510
oct16140415436
94821332780
101904352030
11897a58959
1245191b6a6
132446c8729
14140cbbbb0
15b22bc6c0
hex71821b1e

1904352030 has 96 divisors (see below), whose sum is σ = 5665353408. Its totient is φ = 434764800.

The previous prime is 1904352029. The next prime is 1904352059. The reversal of 1904352030 is 302534091.

It is a super-3 number, since 3×19043520303 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1904351985 and 1904352003.

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, 856320 + ... + 858540.

It is an arithmetic number, because the mean of its divisors is an integer number (59014098).

Almost surely, 21904352030 is an apocalyptic number.

1904352030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904352030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832676704).

1904352030 is an abundant number, since it is smaller than the sum of its proper divisors (3761001378).

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

1904352030 is a wasteful number, since it uses less digits than its factorization.

1904352030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1904352030 is about 43638.8820892561. The cubic root of 1904352030 is about 1239.5072682451.

The spelling of 1904352030 in words is "one billion, nine hundred four million, three hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1361 2221 2722 4083 4442 6663 6805 8166 9527 11105 12249 13326 13610 15547 19054 19989 20415 22210 24498 28581 31094 33315 39978 40830 46641 47635 57162 61245 66630 77735 85743 93282 95270 99945 122490 139923 142905 155470 171486 199890 233205 279846 285810 428715 466410 699615 857430 1399230 3022781 6045562 9068343 15113905 18136686 21159467 27205029 30227810 42318934 45341715 54410058 63478401 90683430 105797335 126956802 136025145 190435203 211594670 272050290 317392005 380870406 634784010 952176015 1904352030