Search a number
-
+
3270490944 = 26372433401
BaseRepresentation
bin1100001011101111…
…1011101101000000
322102221000011011020
43002323323231000
523144221202234
61300305545440
7144021500010
oct30273735500
98387004136
103270490944
11142911a286
12773345280
1340174c956
142304d7c40
151421c4549
hexc2efbb40

3270490944 has 56 divisors (see below), whose sum is σ = 9889345728. Its totient is φ = 934425600.

The previous prime is 3270490943. The next prime is 3270490987. The reversal of 3270490944 is 4490940723.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×32704909442 = 21392222029572022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3270490896 and 3270490905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3270490943) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1215357 + ... + 1218044.

Almost surely, 23270490944 is an apocalyptic number.

It is an amenable number.

3270490944 is an abundant number, since it is smaller than the sum of its proper divisors (6618854784).

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

3270490944 is a wasteful number, since it uses less digits than its factorization.

3270490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433423 (or 2433413 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3270490944 is about 57188.2063366215. The cubic root of 3270490944 is about 1484.3545576732.

The spelling of 3270490944 in words is "three billion, two hundred seventy million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2433401 4866802 7300203 9733604 14600406 17033807 19467208 29200812 34067614 38934416 51101421 58401624 68135228 77868832 102202842 116803248 136270456 155737664 204405684 233606496 272540912 408811368 467212992 545081824 817622736 1090163648 1635245472 3270490944