Search a number
-
+
3212433042 = 237313167719
BaseRepresentation
bin1011111101111001…
…1101011010010010
322021212202111200120
42333132131122102
523034340324132
61250433331110
7142415142000
oct27736353222
98255674616
103212433042
1113a9375545
12757a06a96
133c2702970
14226903a70
1513c05702c
hexbf79d692

3212433042 has 128 divisors (see below), whose sum is σ = 8128512000. Its totient is φ = 840990528.

The previous prime is 3212433019. The next prime is 3212433047. The reversal of 3212433042 is 2403342123.

It is not an unprimeable number, because it can be changed into a prime (3212433047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4467559 + ... + 4468277.

It is an arithmetic number, because the mean of its divisors is an integer number (63504000).

Almost surely, 23212433042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212433042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256000).

3212433042 is an abundant number, since it is smaller than the sum of its proper divisors (4916078958).

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

3212433042 is a wasteful number, since it uses less digits than its factorization.

3212433042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3212433042 is about 56678.3295625409. The cubic root of 3212433042 is about 1475.5186213428.

Adding to 3212433042 its reverse (2403342123), we get a palindrome (5615775165).

The spelling of 3212433042 in words is "three billion, two hundred twelve million, four hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 167 182 273 294 334 343 501 546 637 686 719 1002 1029 1169 1274 1438 1911 2058 2157 2171 2338 3507 3822 4314 4342 4459 5033 6513 7014 8183 8918 9347 10066 13026 13377 15099 15197 16366 18694 24549 26754 28041 30198 30394 35231 45591 49098 56082 57281 65429 70462 91182 105693 106379 114562 120073 130858 171843 196287 211386 212758 240146 246617 319137 343686 360219 392574 458003 493234 638274 720438 739851 744653 840511 916006 1374009 1479702 1489306 1560949 1681022 2233959 2521533 2748018 3121898 3206021 4467918 4682847 5043066 5883577 6412042 9365694 9618063 10926643 11767154 17650731 19236126 21853286 32779929 35301462 41185039 65559858 76486501 82370078 123555117 152973002 229459503 247110234 458919006 535405507 1070811014 1606216521 3212433042