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3132344240 = 245234141521
BaseRepresentation
bin1011101010110011…
…1100011110110000
322002022001120111122
42322230330132300
522403340003430
61234453001412
7140423325644
oct27254743660
98068046448
103132344240
111368143653
12735023268
133abc4103c
1421a016c24
15134ed6ee5
hexbab3c7b0

3132344240 has 80 divisors (see below), whose sum is σ = 7784876736. Its totient is φ = 1169203200.

The previous prime is 3132344183. The next prime is 3132344251. The reversal of 3132344240 is 424432313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×31323442402 = 19623160875722355200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54680 + ... + 96200.

Almost surely, 23132344240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892438368).

3132344240 is an abundant number, since it is smaller than the sum of its proper divisors (4652532496).

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

3132344240 is a wasteful number, since it uses less digits than its factorization.

3132344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41598 (or 41592 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3132344240 is about 55967.3497675207. The cubic root of 3132344240 is about 1463.1532897466.

Adding to 3132344240 its reverse (424432313), we get a palindrome (3556776553).

The spelling of 3132344240 in words is "three billion, one hundred thirty-two million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 164 184 205 230 328 368 410 460 656 820 920 943 1640 1840 1886 3280 3772 4715 7544 9430 15088 18860 37720 41521 75440 83042 166084 207605 332168 415210 664336 830420 954983 1660840 1702361 1909966 3321680 3404722 3819932 4774915 6809444 7639864 8511805 9549830 13618888 15279728 17023610 19099660 27237776 34047220 38199320 39154303 68094440 76398640 78308606 136188880 156617212 195771515 313234424 391543030 626468848 783086060 1566172120 3132344240