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3494251740 = 22357217151463
BaseRepresentation
bin1101000001000110…
…0000110011011100
3100000112001101021010
43100101200303130
524124012023430
61334421535220
7152406435600
oct32021406334
910015041233
103494251740
111533461061
12816274510
13438c060a5
14252103500
15156b73cb0
hexd0460cdc

3494251740 has 288 divisors, whose sum is σ = 12156770304. Its totient is φ = 745113600.

The previous prime is 3494251729. The next prime is 3494251759. The reversal of 3494251740 is 471524943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7546749 + ... + 7547211.

It is an arithmetic number, because the mean of its divisors is an integer number (42211008).

Almost surely, 23494251740 is an apocalyptic number.

3494251740 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 3494251740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078385152).

3494251740 is an abundant number, since it is smaller than the sum of its proper divisors (8662518564).

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

3494251740 is a wasteful number, since it uses less digits than its factorization.

3494251740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3494251740 is about 59112.1962034909. The cubic root of 3494251740 is about 1517.4628351042.

The spelling of 3494251740 in words is "three billion, four hundred ninety-four million, two hundred fifty-one thousand, seven hundred forty".