Search a number
-
+
349038480 = 24357373557
BaseRepresentation
bin10100110011011…
…110011110010000
3220022202222210010
4110303132132100
51203323212410
654345034520
711435530620
oct2463363620
9808688703
10349038480
1116a02885a
1298a85a40
135740a65b
14344da880
1520998c20
hex14cde790

349038480 has 160 divisors (see below), whose sum is σ = 1242134784. Its totient is φ = 79423488.

The previous prime is 349038479. The next prime is 349038499. The reversal of 349038480 is 84830943.

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, 626362 + ... + 626918.

Almost surely, 2349038480 is an apocalyptic number.

349038480 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 349038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621067392).

349038480 is an abundant number, since it is smaller than the sum of its proper divisors (893096304).

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

349038480 is a wasteful number, since it uses less digits than its factorization.

349038480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 349038480 is about 18682.5715574703. The cubic root of 349038480 is about 704.0839367034.

The spelling of 349038480 in words is "three hundred forty-nine million, thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 373 420 557 560 746 840 1114 1119 1492 1671 1680 1865 2228 2238 2611 2785 2984 3342 3730 3899 4456 4476 5222 5570 5595 5968 6684 7460 7798 7833 8355 8912 8952 10444 11140 11190 11697 13055 13368 14920 15596 15666 16710 17904 19495 20888 22280 22380 23394 26110 26736 29840 31192 31332 33420 38990 39165 41776 44560 44760 46788 52220 58485 62384 62664 66840 77980 78330 89520 93576 104440 116970 125328 133680 155960 156660 187152 207761 208880 233940 311920 313320 415522 467880 623283 626640 831044 935760 1038805 1246566 1454327 1662088 2077610 2493132 2908654 3116415 3324176 4155220 4362981 4986264 5817308 6232830 7271635 8310440 8725962 9972528 11634616 12465660 14543270 16620880 17451924 21814905 23269232 24931320 29086540 34903848 43629810 49862640 58173080 69807696 87259620 116346160 174519240 349038480