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345526104 = 2337111811033
BaseRepresentation
bin10100100110000…
…100111101011000
3220002011112201010
4110212010331120
51201423313404
654141453520
711363631510
oct2446047530
9802145633
10345526104
11168049970
12978712a0
135677aa21
1433c64840
1520503189
hex14984f58

345526104 has 128 divisors (see below), whose sum is σ = 1083962880. Its totient is φ = 89164800.

The previous prime is 345526087. The next prime is 345526121. The reversal of 345526104 is 401625543.

It is an interprime number because it is at equal distance from previous prime (345526087) and next prime (345526121).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333972 + ... + 335004.

It is an arithmetic number, because the mean of its divisors is an integer number (8468460).

Almost surely, 2345526104 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 345526104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541981440).

345526104 is an abundant number, since it is smaller than the sum of its proper divisors (738436776).

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

345526104 is a wasteful number, since it uses less digits than its factorization.

345526104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 345526104 is about 18588.3324695896. The cubic root of 345526104 is about 701.7142366579.

The spelling of 345526104 in words is "three hundred forty-five million, five hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 181 231 264 308 362 462 543 616 724 924 1033 1086 1267 1448 1848 1991 2066 2172 2534 3099 3801 3982 4132 4344 5068 5973 6198 7231 7602 7964 8264 10136 11363 11946 12396 13937 14462 15204 15928 21693 22726 23892 24792 27874 28924 30408 34089 41811 43386 45452 47784 55748 57848 68178 79541 83622 86772 90904 111496 136356 159082 167244 173544 186973 238623 272712 318164 334488 373946 477246 560919 636328 747892 954492 1121838 1308811 1495784 1908984 2056703 2243676 2617622 3926433 4113406 4487352 5235244 6170109 7852866 8226812 10470488 12340218 14396921 15705732 16453624 24680436 28793842 31411464 43190763 49360872 57587684 86381526 115175368 172763052 345526104