Search a number
-
+
307685040 = 243513175801
BaseRepresentation
bin10010010101101…
…110011010110000
3210102222000112020
4102111232122300
51112231410130
650310431440
710424164635
oct2225563260
9712860466
10307685040
11148753363
1287062580
134b98ba70
142cc1418c
151c02ae10
hex1256e6b0

307685040 has 160 divisors (see below), whose sum is σ = 1087805376. Its totient is φ = 71270400.

The previous prime is 307685029. The next prime is 307685113. The reversal of 307685040 is 40586703.

It is a junction number, because it is equal to n+sod(n) for n = 307684992 and 307685010.

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, 50140 + ... + 55940.

Almost surely, 2307685040 is an apocalyptic number.

307685040 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 307685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543902688).

307685040 is an abundant number, since it is smaller than the sum of its proper divisors (780120336).

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

307685040 is a wasteful number, since it uses less digits than its factorization.

307685040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 307685040 is about 17540.9532238131. The cubic root of 307685040 is about 675.1010657997.

The spelling of 307685040 in words is "three hundred seven million, six hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 5801 6630 8840 10608 11602 13260 17403 17680 23204 26520 29005 34806 46408 53040 58010 69612 75413 87015 92816 98617 116020 139224 150826 174030 197234 226239 232040 278448 295851 301652 348060 377065 394468 452478 464080 493085 591702 603304 696120 754130 788936 904956 986170 1131195 1183404 1206608 1282021 1392240 1479255 1508260 1577872 1809912 1972340 2262390 2366808 2564042 2958510 3016520 3619824 3846063 3944680 4524780 4733616 5128084 5917020 6033040 6410105 7692126 7889360 9049560 10256168 11834040 12820210 15384252 18099120 19230315 20512336 23668080 25640420 30768504 38460630 51280840 61537008 76921260 102561680 153842520 307685040