Search a number
-
+
354246102155220 = 2235112194801534913
BaseRepresentation
bin101000010001011110101100…
…1000101001111111111010100
31201110021121002221102101012220
41100202331121011033333110
5332412432004122431340
63253230225050542340
7134421302435060202
oct12042753105177724
91643247087371186
10354246102155220
11a2967a23542a00
1233893326a379b0
13122883582aa472
146369862230072
152ae4b49e9aed0
hex1422f5914ffd4

354246102155220 has 288 divisors, whose sum is σ = 1147881452672640. Its totient is φ = 81340858368000.

The previous prime is 354246102155119. The next prime is 354246102155233. The reversal of 354246102155220 is 22551201642453.

It is a super-3 number, since 3×3542461021552203 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661982484 + ... + 662517396.

Almost surely, 2354246102155220 is an apocalyptic number.

354246102155220 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 354246102155220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573940726336320).

354246102155220 is an abundant number, since it is smaller than the sum of its proper divisors (793635350517420).

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

354246102155220 is a wasteful number, since it uses less digits than its factorization.

354246102155220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539767 (or 539754 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 354246102155220 its reverse (22551201642453), we get a palindrome (376797303797673).

The spelling of 354246102155220 in words is "three hundred fifty-four trillion, two hundred forty-six billion, one hundred two million, one hundred fifty-five thousand, two hundred twenty".