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3402849450 = 235271113131173
BaseRepresentation
bin1100101011010011…
…0101110010101010
322210011001122220010
43022310311302222
523432112140300
61321354512350
7150216512610
oct31264656252
98704048803
103402849450
111496902180
127ab7356b6
13422cb2ab0
14243d0d6b0
1514db1ba50
hexcad35caa

3402849450 has 384 divisors, whose sum is σ = 11483265024. Its totient is φ = 643968000.

The previous prime is 3402849431. The next prime is 3402849467. The reversal of 3402849450 is 549482043.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3402849399 and 3402849408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19669564 + ... + 19669736.

It is an arithmetic number, because the mean of its divisors is an integer number (29904336).

Almost surely, 23402849450 is an apocalyptic number.

3402849450 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 3402849450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741632512).

3402849450 is an abundant number, since it is smaller than the sum of its proper divisors (8080415574).

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

3402849450 is a wasteful number, since it uses less digits than its factorization.

3402849450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3402849450 is about 58333.9476634318. The cubic root of 3402849450 is about 1504.1145477892.

The spelling of 3402849450 in words is "three billion, four hundred two million, eight hundred forty-nine thousand, four hundred fifty".