Search a number
-
+
3369234960 = 2433571361281
BaseRepresentation
bin1100100011010010…
…0111001000010000
322200210210212111000
43020310213020100
523400011004320
61314154222000
7146331011310
oct31064471020
98623725430
103369234960
111479933103
127a0424900
13419043870
1423d67d440
1514abcbc90
hexc8d27210

3369234960 has 640 divisors, whose sum is σ = 14569067520. Its totient is φ = 696729600.

The previous prime is 3369234959. The next prime is 3369234991. The reversal of 3369234960 is 694329633.

It is a super-2 number, since 2×33692349602 = 22703488431372403200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11990020 + ... + 11990300.

It is an arithmetic number, because the mean of its divisors is an integer number (22764168).

Almost surely, 23369234960 is an apocalyptic number.

3369234960 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 3369234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284533760).

3369234960 is an abundant number, since it is smaller than the sum of its proper divisors (11199832560).

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

3369234960 is a wasteful number, since it uses less digits than its factorization.

3369234960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 3369234960 is about 58045.1114220655. Note that the first 3 decimals coincide. The cubic root of 3369234960 is about 1499.1454332362.

The spelling of 3369234960 in words is "three billion, three hundred sixty-nine million, two hundred thirty-four thousand, nine hundred sixty".