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3390395424 = 253133477829
BaseRepresentation
bin1100101000010101…
…0101010000100000
322202021121221011220
43022011111100200
523420420123144
61320231535040
7150005612523
oct31205252040
98667557156
103390395424
11148a876299
127a752a480
13420542250
142423cabba
1514c9ab919
hexca155420

3390395424 has 96 divisors (see below), whose sum is σ = 9613235520. Its totient is φ = 1040059392.

The previous prime is 3390395419. The next prime is 3390395443. The reversal of 3390395424 is 4245930933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33903954242 = 22989562262160279552, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 429142 + ... + 436970.

It is an arithmetic number, because the mean of its divisors is an integer number (100137870).

Almost surely, 23390395424 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 3390395424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806617760).

3390395424 is an abundant number, since it is smaller than the sum of its proper divisors (6222840096).

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

3390395424 is a wasteful number, since it uses less digits than its factorization.

3390395424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 3390395424 is about 58227.1021432460. The cubic root of 3390395424 is about 1502.2773442745.

The spelling of 3390395424 in words is "three billion, three hundred ninety million, three hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 347 416 624 694 1041 1248 1388 2082 2776 4164 4511 5552 7829 8328 9022 11104 13533 15658 16656 18044 23487 27066 31316 33312 36088 46974 54132 62632 72176 93948 101777 108264 125264 144352 187896 203554 216528 250528 305331 375792 407108 433056 610662 751584 814216 1221324 1628432 2442648 2716663 3256864 4885296 5433326 8149989 9770592 10866652 16299978 21733304 32599956 35316619 43466608 65199912 70633238 86933216 105949857 130399824 141266476 211899714 260799648 282532952 423799428 565065904 847598856 1130131808 1695197712 3390395424