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3424540350 = 235271117107163
BaseRepresentation
bin1100110000011110…
…0101011010111110
322211122212200012210
43030013211122332
524003140242400
61323451441250
7150602053440
oct31407453276
98748780183
103424540350
1114a8077940
127b6a56226
13427638a4a
14246b58490
151509a3950
hexcc1e56be

3424540350 has 384 divisors, whose sum is σ = 11385556992. Its totient is φ = 659404800.

The previous prime is 3424540331. The next prime is 3424540391. The reversal of 3424540350 is 530454243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21009369 + ... + 21009531.

It is an arithmetic number, because the mean of its divisors is an integer number (29649888).

Almost surely, 23424540350 is an apocalyptic number.

3424540350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424540350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692778496).

3424540350 is an abundant number, since it is smaller than the sum of its proper divisors (7961016642).

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

3424540350 is a wasteful number, since it uses less digits than its factorization.

3424540350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3424540350 is about 58519.5723668586. The cubic root of 3424540350 is about 1507.3036907920.

Adding to 3424540350 its reverse (530454243), we get a palindrome (3954994593).

The spelling of 3424540350 in words is "three billion, four hundred twenty-four million, five hundred forty thousand, three hundred fifty".