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330997030740 = 223251838872393
BaseRepresentation
bin1001101000100001111…
…01011101111101010100
31011122100202022100011200
410310100331131331110
520410340214440430
6412020303032500
732625262224345
oct4642075357524
91148322270150
10330997030740
11118414216282
125419629b730
132529c93150c
141203db640cc
158923ace460
hex4d10f5df54

330997030740 has 36 divisors (see below), whose sum is σ = 1004024327124. Its totient is φ = 88265874816.

The previous prime is 330997030703. The next prime is 330997030747. The reversal of 330997030740 is 47030799033.

330997030740 is a `hidden beast` number, since 330 + 9 + 9 + 7 + 0 + 307 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224573627664 + 106423403076 = 473892^2 + 326226^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330997030747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919436017 + ... + 919436376.

Almost surely, 2330997030740 is an apocalyptic number.

330997030740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330997030740 is an abundant number, since it is smaller than the sum of its proper divisors (673027296384).

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

330997030740 is a wasteful number, since it uses less digits than its factorization.

330997030740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838872408 (or 1838872403 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 330997030740 in words is "three hundred thirty billion, nine hundred ninety-seven million, thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1838872393 3677744786 5516617179 7355489572 9194361965 11033234358 16549851537 18388723930 22066468716 27583085895 33099703074 36777447860 55166171790 66199406148 82749257685 110332343580 165498515370 330997030740