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3212423040 = 27351673137
BaseRepresentation
bin1011111101111001…
…1010111110000000
322021212201222222010
42333132122332000
523034340014130
61250433212520
7142415100561
oct27736327600
98255658863
103212423040
1113a9368a82
12757a01140
133c26cb248
14226900168
1513c0540b0
hexbf79af80

3212423040 has 64 divisors (see below), whose sum is σ = 10239604560. Its totient is φ = 856645632.

The previous prime is 3212422979. The next prime is 3212423063. The reversal of 3212423040 is 403242123.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3212422998 and 3212423016.

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 7 ways as a sum of consecutive naturals, for example, 834649 + ... + 838488.

Almost surely, 23212423040 is an apocalyptic number.

3212423040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3212423040 is an abundant number, since it is smaller than the sum of its proper divisors (7027181520).

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

3212423040 is a wasteful number, since it uses less digits than its factorization.

3212423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673159 (or 1673147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3212423040 is about 56678.2413276912. The cubic root of 3212423040 is about 1475.5170899850.

Adding to 3212423040 its reverse (403242123), we get a palindrome (3615665163).

The spelling of 3212423040 in words is "three billion, two hundred twelve million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1673137 3346274 5019411 6692548 8365685 10038822 13385096 16731370 20077644 25097055 26770192 33462740 40155288 50194110 53540384 66925480 80310576 100388220 107080768 133850960 160621152 200776440 214161536 267701920 321242304 401552880 535403840 642484608 803105760 1070807680 1606211520 3212423040