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3492405378 = 2327113181283
BaseRepresentation
bin1101000000101001…
…1110000010000010
3100000101120120112100
43100022132002002
524123023433003
61334314211230
7152354645610
oct32012360202
910011516470
103492405378
11153240a940
12815723b16
1343870a877
14251b826b0
1515690bba3
hexd029e082

3492405378 has 96 divisors (see below), whose sum is σ = 9738473472. Its totient is φ = 877845600.

The previous prime is 3492405361. The next prime is 3492405391. The reversal of 3492405378 is 8735042943.

3492405378 is a `hidden beast` number, since 3 + 492 + 40 + 53 + 78 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2325 + ... + 83607.

It is an arithmetic number, because the mean of its divisors is an integer number (101442432).

Almost surely, 23492405378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3492405378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869236736).

3492405378 is an abundant number, since it is smaller than the sum of its proper divisors (6246068094).

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

3492405378 is a wasteful number, since it uses less digits than its factorization.

3492405378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81340 (or 81337 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3492405378 is about 59096.5767028853. The cubic root of 3492405378 is about 1517.1955123165.

The spelling of 3492405378 in words is "three billion, four hundred ninety-two million, four hundred five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 62 63 66 77 93 99 126 154 186 198 217 231 279 341 434 462 558 651 682 693 1023 1302 1386 1953 2046 2387 3069 3906 4774 6138 7161 14322 21483 42966 81283 162566 243849 487698 568981 731547 894113 1137962 1463094 1706943 1788226 2519773 2682339 3413886 5039546 5120829 5364678 6258791 7559319 8047017 10241658 12517582 15118638 16094034 17638411 18776373 22677957 27717503 35276822 37552746 45355914 52915233 55435006 56329119 83152509 105830466 112658238 158745699 166305018 194022521 249457527 317491398 388045042 498915054 582067563 1164135126 1746202689 3492405378