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3214204020 = 2232541435529
BaseRepresentation
bin1011111110010100…
…1101110001110100
322022000002111000100
42333211031301310
523040314012040
61250535314100
7142436166126
oct27745156164
98260074010
103214204020
1113aa375065
1275851b930
133c2ba2a91
14226c45216
1513c2a6b30
hexbf94dc74

3214204020 has 72 divisors (see below), whose sum is σ = 9987573960. Its totient is φ = 836213760.

The previous prime is 3214203961. The next prime is 3214204039. The reversal of 3214204020 is 204024123.

It can be written as a sum of positive squares in 4 ways, for example, as 184362084 + 3029841936 = 13578^2 + 55044^2 .

It is a super-2 number, since 2×32142040202 = 20662214964368320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3214203984 and 3214204002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210385 + ... + 225144.

It is an arithmetic number, because the mean of its divisors is an integer number (138716305).

Almost surely, 23214204020 is an apocalyptic number.

3214204020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214204020 is an abundant number, since it is smaller than the sum of its proper divisors (6773369940).

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

3214204020 is a wasteful number, since it uses less digits than its factorization.

3214204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435585 (or 435580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3214204020 is about 56693.9504709277. The cubic root of 3214204020 is about 1475.7897171070.

Adding to 3214204020 its reverse (204024123), we get a palindrome (3418228143).

The spelling of 3214204020 in words is "three billion, two hundred fourteen million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 435529 871058 1306587 1742116 2177645 2613174 3919761 4355290 5226348 6532935 7839522 8710580 13065870 15679044 17856689 19598805 26131740 35713378 39197610 53570067 71426756 78395220 89283445 107140134 160710201 178566890 214280268 267850335 321420402 357133780 535700670 642840804 803551005 1071401340 1607102010 3214204020