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3141254340 = 22325711712129
BaseRepresentation
bin1011101100111011…
…1011110011000100
322002220211020212100
42323032323303010
522413130114330
61235411552100
7140562135630
oct27316736304
98086736770
103141254340
111372179974
12737bbb630
133b0a407a3
1421b295dc0
15135b97060
hexbb3bbcc4

3141254340 has 144 divisors (see below), whose sum is σ = 10904100480. Its totient is φ = 717050880.

The previous prime is 3141254317. The next prime is 3141254381. The reversal of 3141254340 is 434521413.

It is a happy number.

3141254340 is a `hidden beast` number, since 31 + 41 + 254 + 340 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1474396 + ... + 1476524.

It is an arithmetic number, because the mean of its divisors is an integer number (75722920).

Almost surely, 23141254340 is an apocalyptic number.

3141254340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141254340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452050240).

3141254340 is an abundant number, since it is smaller than the sum of its proper divisors (7762846140).

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

3141254340 is a wasteful number, since it uses less digits than its factorization.

3141254340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3141254340 is about 56046.8941155529. The cubic root of 3141254340 is about 1464.5393124103.

Adding to 3141254340 its reverse (434521413), we get a palindrome (3575775753).

The spelling of 3141254340 in words is "three billion, one hundred forty-one million, two hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1171 1260 2129 2342 3513 4258 4684 5855 6387 7026 8197 8516 10539 10645 11710 12774 14052 14903 16394 17565 19161 21078 21290 23420 24591 25548 29806 31935 32788 35130 38322 40985 42156 42580 44709 49182 52695 59612 63870 70260 73773 74515 76644 81970 89418 95805 98364 105390 122955 127740 134127 147546 149030 163940 178836 191610 210780 223545 245910 268254 295092 298060 368865 383220 447090 491820 536508 670635 737730 894180 1341270 1475460 2493059 2682540 4986118 7479177 9972236 12465295 14958354 17451413 22437531 24930590 29916708 34902826 37395885 44875062 49861180 52354239 69805652 74791770 87257065 89750124 104708478 112187655 149583540 157062717 174514130 209416956 224375310 261771195 314125434 349028260 448750620 523542390 628250868 785313585 1047084780 1570627170 3141254340