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3402004020 = 2235425913313
BaseRepresentation
bin1100101011000110…
…0111011000110100
322210002110201011220
43022301213120310
523431403112040
61321324430340
7150206362032
oct31261473064
98702421156
103402004020
111496384a78
127ab3a83b0
13422a7803c
14243b6d552
1514da012d0
hexcac67634

3402004020 has 48 divisors (see below), whose sum is σ = 9528563520. Its totient is φ = 906919936.

The previous prime is 3402004019. The next prime is 3402004027. The reversal of 3402004020 is 204002043.

It is a happy number.

3402004020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402004027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248884 + ... + 262196.

It is an arithmetic number, because the mean of its divisors is an integer number (198511740).

Almost surely, 23402004020 is an apocalyptic number.

3402004020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402004020 is an abundant number, since it is smaller than the sum of its proper divisors (6126559500).

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

3402004020 is a wasteful number, since it uses less digits than its factorization.

3402004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17584 (or 17582 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3402004020 is about 58326.7007467421. The cubic root of 3402004020 is about 1503.9899728894.

Adding to 3402004020 its reverse (204002043), we get a palindrome (3606006063).

The spelling of 3402004020 in words is "three billion, four hundred two million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4259 8518 12777 13313 17036 21295 25554 26626 39939 42590 51108 53252 63885 66565 79878 85180 127770 133130 159756 199695 255540 266260 399390 798780 56700067 113400134 170100201 226800268 283500335 340200402 567000670 680400804 850501005 1134001340 1701002010 3402004020