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3438425250 = 23253131923269
BaseRepresentation
bin1100110011110010…
…0011010010100010
322212122000002201100
43030330203102202
524020214102000
61325105215230
7151131063261
oct31474432242
98778002640
103438425250
1115049a0867
127bb631516
1342a48a970
142489305d8
15151ce7a00
hexccf234a2

3438425250 has 384 divisors, whose sum is σ = 11038809600. Its totient is φ = 764121600.

The previous prime is 3438425239. The next prime is 3438425261. The reversal of 3438425250 is 525248343.

3438425250 is a `hidden beast` number, since 3 + 4 + 384 + 25 + 250 = 666.

It is an interprime number because it is at equal distance from previous prime (3438425239) and next prime (3438425261).

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, 12782116 + ... + 12782384.

It is an arithmetic number, because the mean of its divisors is an integer number (28746900).

Almost surely, 23438425250 is an apocalyptic number.

3438425250 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 3438425250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519404800).

3438425250 is an abundant number, since it is smaller than the sum of its proper divisors (7600384350).

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

3438425250 is a wasteful number, since it uses less digits than its factorization.

3438425250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3438425250 is about 58638.0870254138. The cubic root of 3438425250 is about 1509.3380795465.

The spelling of 3438425250 in words is "three billion, four hundred thirty-eight million, four hundred twenty-five thousand, two hundred fifty".