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3394394640 = 2433572132467
BaseRepresentation
bin1100101001010010…
…0101101000010000
322202120011010002000
43022110211220100
523422431112030
61320453354000
7150054610200
oct31224455020
98676133060
103394394640
111492057a2a
127a8938900
13421312650
14242b4c400
1514ceeb860
hexca525a10

3394394640 has 480 divisors, whose sum is σ = 14652812160. Its totient is φ = 715889664.

The previous prime is 3394394629. The next prime is 3394394687. The reversal of 3394394640 is 464934933.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1374687 + ... + 1377153.

It is an arithmetic number, because the mean of its divisors is an integer number (30526692).

Almost surely, 23394394640 is an apocalyptic number.

3394394640 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 3394394640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326406080).

3394394640 is an abundant number, since it is smaller than the sum of its proper divisors (11258417520).

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

3394394640 is a wasteful number, since it uses less digits than its factorization.

3394394640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3394394640 is about 58261.4335559983. The cubic root of 3394394640 is about 1502.8677936788.

The spelling of 3394394640 in words is "three billion, three hundred ninety-four million, three hundred ninety-four thousand, six hundred forty".