Search a number
-
+
3371479440 = 2435717971217
BaseRepresentation
bin1100100011110100…
…1011000110010000
322200222000220022220
43020331023012100
523401044320230
61314314301040
7146356050060
oct31075130620
98628026286
103371479440
11148012644a
127a1127780
1341964b364
1423daa53a0
1514aec1d10
hexc8f4b190

3371479440 has 320 divisors, whose sum is σ = 12788181504. Its totient is φ = 717225984.

The previous prime is 3371479427. The next prime is 3371479451. The reversal of 3371479440 is 449741733.

It is a super-2 number, since 2×33714794402 = 22733747228685427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3371479392 and 3371479401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2769712 + ... + 2770928.

Almost surely, 23371479440 is an apocalyptic number.

3371479440 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 3371479440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394090752).

3371479440 is an abundant number, since it is smaller than the sum of its proper divisors (9416702064).

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

3371479440 is a wasteful number, since it uses less digits than its factorization.

3371479440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 3371479440 is about 58064.4421311356. The cubic root of 3371479440 is about 1499.4782540974.

The spelling of 3371479440 in words is "three billion, three hundred seventy-one million, four hundred seventy-nine thousand, four hundred forty".