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2431341040 = 245233771503
BaseRepresentation
bin1001000011101011…
…0101000111110000
320021102222220220011
42100322311013300
514434410403130
61041132024304
7114152025562
oct22072650760
96242886804
102431341040
111038479567
1257a302094
132c994014b
14190c9b332
15e36b752a
hex90eb51f0

2431341040 has 160 divisors (see below), whose sum is σ = 6155606016. Its totient is φ = 890588160.

The previous prime is 2431341019. The next prime is 2431341103. The reversal of 2431341040 is 401431342.

It is a super-2 number, since 2×24313410402 = 11822838505576563200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4833429 + ... + 4833931.

Almost surely, 22431341040 is an apocalyptic number.

2431341040 is a gapful number since it is divisible by the number (20) 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 2431341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077803008).

2431341040 is an abundant number, since it is smaller than the sum of its proper divisors (3724264976).

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

2431341040 is a wasteful number, since it uses less digits than its factorization.

2431341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2431341040 is about 49308.6304818943. The cubic root of 2431341040 is about 1344.6686930137.

Adding to 2431341040 its reverse (401431342), we get a palindrome (2832772382).

The spelling of 2431341040 in words is "two billion, four hundred thirty-one million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 71 74 80 92 115 142 148 184 185 230 284 296 355 368 370 460 503 568 592 710 740 851 920 1006 1136 1420 1480 1633 1702 1840 2012 2515 2627 2840 2960 3266 3404 4024 4255 5030 5254 5680 6532 6808 8048 8165 8510 10060 10508 11569 13064 13135 13616 16330 17020 18611 20120 21016 23138 26128 26270 32660 34040 35713 37222 40240 42032 46276 52540 57845 60421 65320 68080 71426 74444 92552 93055 105080 115690 120842 130640 142852 148888 178565 185104 186110 210160 231380 241684 285704 297776 302105 357130 372220 428053 462760 483368 571408 604210 714260 744440 821399 856106 925520 966736 1208420 1321381 1428520 1488880 1642798 1712212 2140265 2416840 2642762 2857040 3285596 3424424 4106995 4280530 4833680 5285524 6571192 6606905 6848848 8213990 8561060 10571048 13142384 13213810 16427980 17122120 21142096 26427620 30391763 32855960 34244240 52855240 60783526 65711920 105710480 121567052 151958815 243134104 303917630 486268208 607835260 1215670520 2431341040