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348992064 = 2634232927
BaseRepresentation
bin10100110011010…
…011001001000000
3220022200122010000
4110303103021000
51203320221224
654344040000
711435245401
oct2463231100
9808618100
10348992064
11169aa69a3
1298a63000
13573c24a5
14344c79a8
152098a0c9
hex14cd3240

348992064 has 140 divisors (see below), whose sum is σ = 1079869824. Its totient is φ = 111234816.

The previous prime is 348992047. The next prime is 348992081. The reversal of 348992064 is 460299843.

It is an interprime number because it is at equal distance from previous prime (348992047) and next prime (348992081).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117769 + ... + 120695.

Almost surely, 2348992064 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 348992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539934912).

348992064 is an abundant number, since it is smaller than the sum of its proper divisors (730877760).

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

348992064 is a wasteful number, since it uses less digits than its factorization.

348992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 348992064 is about 18681.3292888916. The cubic root of 348992064 is about 704.0527250456.

It can be divided in two parts, 34899 and 2064, that added together give a palindrome (36963).

The spelling of 348992064 in words is "three hundred forty-eight million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 2927 3312 3726 4416 4968 5184 5854 6624 7452 8781 9936 11708 13248 14904 17562 19872 23416 26343 29808 35124 39744 46832 52686 59616 67321 70248 79029 93664 105372 119232 134642 140496 158058 187328 201963 210744 237087 269284 280992 316116 403926 421488 474174 538568 561984 605889 632232 807852 842976 948348 1077136 1211778 1264464 1615704 1685952 1817667 1896696 2154272 2423556 2528928 3231408 3635334 3793392 4308544 4847112 5057856 5453001 6462816 7270668 7586784 9694224 10906002 12925632 14541336 15173568 19388448 21812004 29082672 38776896 43624008 58165344 87248016 116330688 174496032 348992064