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330030311232 = 26331233237977
BaseRepresentation
bin1001100110101110101…
…01101110011101000000
31011112212101020220022110
410303113111232131000
520401400224424412
6411340330535320
732562313234206
oct4632725563500
91145771226273
10330030311232
11117a68563636
1253b66597540
132517757753b
1411d8b5db076
1588b8cc3d3c
hex4cd756e740

330030311232 has 112 divisors (see below), whose sum is σ = 905245466112. Its totient is φ = 106004029440.

The previous prime is 330030311213. The next prime is 330030311279. The reversal of 330030311232 is 232113030033.

It is a junction number, because it is equal to n+sod(n) for n = 330030311199 and 330030311208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267828 + ... + 1505804.

Almost surely, 2330030311232 is an apocalyptic number.

330030311232 is a gapful number since it is divisible by the number (32) 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 330030311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452622733056).

330030311232 is an abundant number, since it is smaller than the sum of its proper divisors (575215154880).

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

330030311232 is a wasteful number, since it uses less digits than its factorization.

330030311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238256 (or 238246 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 330030311232 its reverse (232113030033), we get a palindrome (562143341265).

The spelling of 330030311232 in words is "three hundred thirty billion, thirty million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 233 248 372 466 496 699 744 932 992 1398 1488 1864 1984 2796 2976 3728 5592 5952 7223 7456 11184 14446 14912 21669 22368 28892 43338 44736 57784 86676 115568 173352 231136 237977 346704 462272 475954 693408 713931 951908 1386816 1427862 1903816 2855724 3807632 5711448 7377287 7615264 11422896 14754574 15230528 22131861 22845792 29509148 44263722 45691584 55448641 59018296 88527444 110897282 118036592 166345923 177054888 221794564 236073184 332691846 354109776 443589128 472146368 665383692 708219552 887178256 1330767384 1416439104 1718907871 1774356512 2661534768 3437815742 3548713024 5156723613 5323069536 6875631484 10313447226 10646139072 13751262968 20626894452 27502525936 41253788904 55005051872 82507577808 110010103744 165015155616 330030311232