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3405321792 = 26325912017
BaseRepresentation
bin1100101011111001…
…0001011001000000
322210022201021022100
43022332101121000
523433230244132
61321523510400
7150246520605
oct31276213100
98708637270
103405321792
111498240734
127b0528400
1342366a212
142443946ac
1514de5937c
hexcaf91640

3405321792 has 42 divisors (see below), whose sum is σ = 9760741718. Its totient is φ = 1135107072.

The previous prime is 3405321791. The next prime is 3405321817. The reversal of 3405321792 is 2971235043.

3405321792 is a `hidden beast` number, since 34 + 0 + 532 + 1 + 7 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3314995776 + 90326016 = 57576^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3405321791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2955433 + ... + 2956584.

Almost surely, 23405321792 is an apocalyptic number.

3405321792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3405321792 is an abundant number, since it is smaller than the sum of its proper divisors (6355419926).

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

3405321792 is a wasteful number, since it uses less digits than its factorization.

3405321792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912035 (or 5912022 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3405321792 is about 58355.1350953796. The cubic root of 3405321792 is about 1504.4787313343.

The spelling of 3405321792 in words is "three billion, four hundred five million, three hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5912017 11824034 17736051 23648068 35472102 47296136 53208153 70944204 94592272 106416306 141888408 189184544 212832612 283776816 378369088 425665224 567553632 851330448 1135107264 1702660896 3405321792