Search a number
-
+
334471660320 = 25357839291291
BaseRepresentation
bin1001101111000000001…
…00001000001100100000
31011222022220102210220010
410313200010020030200
520434444221112240
6413353144244520
733110343126630
oct4674004101440
91158286383803
10334471660320
11119937594976
12549a5a70740
1325704757155
141228d3da6c0
158a78b79280
hex4de0108320

334471660320 has 384 divisors, whose sum is σ = 1220861859840. Its totient is φ = 75389829120.

The previous prime is 334471660309. The next prime is 334471660331. The reversal of 334471660320 is 23066174433.

It is an interprime number because it is at equal distance from previous prime (334471660309) and next prime (334471660331).

It is a super-2 number, since 2×3344716603202 (a number of 24 digits) contains 22 as substring.

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, 259078875 + ... + 259080165.

It is an arithmetic number, because the mean of its divisors is an integer number (3179327760).

Almost surely, 2334471660320 is an apocalyptic number.

334471660320 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 334471660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610430929920).

334471660320 is an abundant number, since it is smaller than the sum of its proper divisors (886390199520).

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

334471660320 is a wasteful number, since it uses less digits than its factorization.

334471660320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 334471660320 in words is "three hundred thirty-four billion, four hundred seventy-one million, six hundred sixty thousand, three hundred twenty".