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BaseRepresentation
bin1100111110100100010000
320101211200000
430332210100
51332331000
6200530000
740626240
oct14764420
96354600
103402000
111a13a78
121180900
13921624
14647b20
15473000
hex33e910

3402000 has 240 divisors, whose sum is σ = 14082432. Its totient is φ = 777600.

The previous prime is 3401963. The next prime is 3402013. The reversal of 3402000 is 2043.

3402000 = T168 + T169 + ... + T292.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485997 + ... + 486003.

Almost surely, 23402000 is an apocalyptic number.

3402000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041216).

3402000 is an abundant number, since it is smaller than the sum of its proper divisors (10680432).

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

3402000 is an equidigital number, since it uses as much as digits as its factorization.

3402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3402000 is about 1844.4511378727. The cubic root of 3402000 is about 150.3989380489.

Adding to 3402000 its reverse (2043), we get a palindrome (3404043).

The spelling of 3402000 in words is "three million, four hundred two thousand".