Search a number
-
+
307499040 = 253251911239
BaseRepresentation
bin10010010101000…
…001000000100000
3210102121120101100
4102111001000200
51112204432130
650302434400
710422461442
oct2225010040
9712546340
10307499040
11148636642
1286b92a00
134b9251c4
142cba6492
151bee0c60
hex12541020

307499040 has 144 divisors (see below), whose sum is σ = 1104667200. Its totient is φ = 77677056.

The previous prime is 307499033. The next prime is 307499041. The reversal of 307499040 is 40994703.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 307498986 and 307499004.

It is not an unprimeable number, because it can be changed into a prime (307499041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21741 + ... + 32979.

It is an arithmetic number, because the mean of its divisors is an integer number (7671300).

Almost surely, 2307499040 is an apocalyptic number.

307499040 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 307499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552333600).

307499040 is an abundant number, since it is smaller than the sum of its proper divisors (797168160).

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

307499040 is a wasteful number, since it uses less digits than its factorization.

307499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 307499040 is about 17535.6505439633. The cubic root of 307499040 is about 674.9650023007.

The spelling of 307499040 in words is "three hundred seven million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 11239 13680 22478 27360 33717 44956 56195 67434 89912 101151 112390 134868 168585 179824 202302 213541 224780 269736 337170 359648 404604 427082 449560 505755 539472 640623 674340 809208 854164 899120 1011510 1067705 1078944 1281246 1348680 1618416 1708328 1798240 1921869 2023020 2135410 2562492 2697360 3203115 3236832 3416656 3843738 4046040 4270820 5124984 5394720 6406230 6833312 7687476 8092080 8541640 9609345 10249968 12812460 15374952 16184160 17083280 19218690 20499936 25624920 30749904 34166560 38437380 51249840 61499808 76874760 102499680 153749520 307499040