Search a number
-
+
349755497088 = 2731994576993
BaseRepresentation
bin1010001011011110000…
…11010101101010000000
31020102210001200011102120
411011233003111222000
521212244401401323
6424401522044240
734161160446534
oct5055703255200
91212701604376
10349755497088
1112536a950728
12579504a9680
1326c9c03204a
1412cdd1c7bc4
1591708585e3
hex516f0d5a80

349755497088 has 64 divisors (see below), whose sum is σ = 933706776000. Its totient is φ = 115999285248.

The previous prime is 349755497057. The next prime is 349755497093. The reversal of 349755497088 is 880794557943.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2212081 + ... + 2364912.

It is an arithmetic number, because the mean of its divisors is an integer number (14589168375).

Almost surely, 2349755497088 is an apocalyptic number.

It is an amenable number.

349755497088 is an abundant number, since it is smaller than the sum of its proper divisors (583951278912).

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

349755497088 is a wasteful number, since it uses less digits than its factorization.

349755497088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577209 (or 4577197 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 349755497088 in words is "three hundred forty-nine billion, seven hundred fifty-five million, four hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1194 1592 2388 3184 4776 6368 9552 12736 19104 25472 38208 76416 4576993 9153986 13730979 18307972 27461958 36615944 54923916 73231888 109847832 146463776 219695664 292927552 439391328 585855104 878782656 910821607 1757565312 1821643214 2732464821 3643286428 5464929642 7286572856 10929859284 14573145712 21859718568 29146291424 43719437136 58292582848 87438874272 116585165696 174877748544 349755497088