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3425378355 = 335729124991
BaseRepresentation
bin1100110000101011…
…0010000000110011
322211201110020202000
43030022302000303
524003344101410
61323521425043
7150612143550
oct31412620063
98751406660
103425378355
1114a859a503
127b719b183
134278702c9
14246cd5a27
15150abbdc0
hexcc2b2033

3425378355 has 64 divisors (see below), whose sum is σ = 7199539200. Its totient is φ = 1511879040.

The previous prime is 3425378347. The next prime is 3425378357. The reversal of 3425378355 is 5538735243.

3425378355 is a `hidden beast` number, since 34 + 2 + 537 + 83 + 5 + 5 = 666.

It is not a de Polignac number, because 3425378355 - 23 = 3425378347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3425378355.

It is not an unprimeable number, because it can be changed into a prime (3425378357) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 35091 + ... + 89900.

It is an arithmetic number, because the mean of its divisors is an integer number (112492800).

Almost surely, 23425378355 is an apocalyptic number.

3425378355 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3425378355 is an abundant number, since it is smaller than the sum of its proper divisors (3774160845).

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

3425378355 is a wasteful number, since it uses less digits than its factorization.

3425378355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125041 (or 125035 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 3425378355 is about 58526.7319692463. The cubic root of 3425378355 is about 1507.4266294332.

The spelling of 3425378355 in words is "three billion, four hundred twenty-five million, three hundred seventy-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 87 105 135 145 189 203 261 315 435 609 783 945 1015 1305 1827 3045 3915 5481 9135 27405 124991 374973 624955 874937 1124919 1874865 2624811 3374757 3624739 4374685 5624595 7874433 10874217 13124055 16873785 18123695 23623299 25373173 32622651 39372165 54371085 76119519 97867953 118116495 126865865 163113255 228358557 380597595 489339765 685075671 1141792785 3425378355