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16305363340 = 22571722929917
BaseRepresentation
bin11110010111110000…
…00001100110001100
31120002100102021112221
433023320001212030
5231343133111330
611253544305124
71115030205310
oct171370014614
946070367487
1016305363340
116a07a528a2
1231b07721a4
1316cb1112b6
14b0973db40
15656713b7a
hex3cbe0198c

16305363340 has 96 divisors (see below), whose sum is σ = 41617134720. Its totient is φ = 5238411264.

The previous prime is 16305363337. The next prime is 16305363359. The reversal of 16305363340 is 4336350361.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 16305363296 and 16305363305.

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, 530062 + ... + 559978.

It is an arithmetic number, because the mean of its divisors is an integer number (433511820).

Almost surely, 216305363340 is an apocalyptic number.

16305363340 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 16305363340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808567360).

16305363340 is an abundant number, since it is smaller than the sum of its proper divisors (25311771380).

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

16305363340 is a wasteful number, since it uses less digits than its factorization.

16305363340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30179 (or 30177 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 34.

The spelling of 16305363340 in words is "sixteen billion, three hundred five million, three hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 229 238 340 458 476 595 916 1145 1190 1603 2290 2380 3206 3893 4580 6412 7786 8015 15572 16030 19465 27251 29917 32060 38930 54502 59834 77860 109004 119668 136255 149585 209419 272510 299170 418838 508589 545020 598340 837676 1017178 1047095 2034356 2094190 2542945 3560123 4188380 5085890 6850993 7120246 10171780 13701986 14240492 17800615 27403972 34254965 35601230 47956951 68509930 71202460 95913902 116466881 137019860 191827804 232933762 239784755 465867524 479569510 582334405 815268167 959139020 1164668810 1630536334 2329337620 3261072668 4076340835 8152681670 16305363340