Search a number
-
+
3402155520 = 293651823
BaseRepresentation
bin1100101011001000…
…1100011000000000
322210002202102000000
43022302030120000
523431422434040
61321332000000
7150210562521
oct31262143000
98702672000
103402155520
111496478885
127ab460000
13422acbc9a
14243bac848
1514da31130
hexcac8c600

3402155520 has 280 divisors, whose sum is σ = 12236913216. Its totient is φ = 906743808.

The previous prime is 3402155509. The next prime is 3402155531. The reversal of 3402155520 is 255512043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3402155509) and next prime (3402155531).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 1865329 + ... + 1867151.

Almost surely, 23402155520 is an apocalyptic number.

3402155520 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 3402155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118456608).

3402155520 is an abundant number, since it is smaller than the sum of its proper divisors (8834757696).

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

3402155520 is an frugal number, since it uses more digits than its factorization.

3402155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3402155520 is about 58327.9994513784. Note that the first 3 decimals coincide. The cubic root of 3402155520 is about 1504.0122980736.

Adding to 3402155520 its reverse (255512043), we get a palindrome (3657667563).

The spelling of 3402155520 in words is "three billion, four hundred two million, one hundred fifty-five thousand, five hundred twenty".