Search a number
-
+
309781480 = 235172329683
BaseRepresentation
bin10010011101101…
…110001111101000
3210120220112022011
4102131232033220
51113301001410
650423405304
710451046001
oct2235561750
9716815264
10309781480
11149955458
12878b3834
134c244068
142d1dc1a8
151c2e218a
hex1276e3e8

309781480 has 128 divisors (see below), whose sum is σ = 797817600. Its totient is φ = 107548672.

The previous prime is 309781441. The next prime is 309781487. The reversal of 309781480 is 84187903.

It is a super-3 number, since 3×3097814803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (309781487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453219 + ... + 453901.

It is an arithmetic number, because the mean of its divisors is an integer number (6232950).

Almost surely, 2309781480 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 309781480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398908800).

309781480 is an abundant number, since it is smaller than the sum of its proper divisors (488036120).

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

309781480 is a wasteful number, since it uses less digits than its factorization.

309781480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 309781480 is about 17600.6102166942. The cubic root of 309781480 is about 676.6308840254.

The spelling of 309781480 in words is "three hundred nine million, seven hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 23 29 34 40 46 58 68 85 92 115 116 136 145 170 184 230 232 290 340 391 460 493 580 667 680 683 782 920 986 1160 1334 1366 1564 1955 1972 2465 2668 2732 3128 3335 3415 3910 3944 4930 5336 5464 6670 6830 7820 9860 11339 11611 13340 13660 15640 15709 19720 19807 22678 23222 26680 27320 31418 39614 45356 46444 56695 58055 62836 78545 79228 90712 92888 99035 113390 116110 125672 157090 158456 198070 226780 232220 267053 314180 336719 396140 453560 455561 464440 534106 628360 673438 792280 911122 1068212 1335265 1346876 1683595 1822244 2136424 2277805 2670530 2693752 3367190 3644488 4555610 5341060 6734380 7744537 9111220 10682120 13468760 15489074 18222440 30978148 38722685 61956296 77445370 154890740 309781480