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961788330 = 23453138303
BaseRepresentation
bin111001010100111…
…011100110101010
32111000202220120000
4321110323212222
53432204211310
6235234243430
732556031416
oct7124734652
92430686500
10961788330
114539a4898
1222a126576
1312434b629
1491a41d46
15596844c0
hex3953b9aa

961788330 has 80 divisors (see below), whose sum is σ = 2669635584. Its totient is φ = 248196960.

The previous prime is 961788329. The next prime is 961788367. The reversal of 961788330 is 33887169.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5959 + ... + 44261.

Almost surely, 2961788330 is an apocalyptic number.

961788330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 961788330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334817792).

961788330 is an abundant number, since it is smaller than the sum of its proper divisors (1707847254).

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

961788330 is a wasteful number, since it uses less digits than its factorization.

961788330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38353 (or 38344 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 961788330 is about 31012.7123934686. The cubic root of 961788330 is about 987.0970054600.

The spelling of 961788330 in words is "nine hundred sixty-one million, seven hundred eighty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 4185 5022 8370 12555 25110 38303 76606 114909 191515 229818 344727 383030 574545 689454 1034181 1149090 1187393 1723635 2068362 2374786 3102543 3447270 3562179 5170905 5936965 6205086 7124358 10341810 10686537 11873930 15512715 17810895 21373074 31025430 32059611 35621790 53432685 64119222 96178833 106865370 160298055 192357666 320596110 480894165 961788330