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3394813392 = 243223575093
BaseRepresentation
bin1100101001011000…
…1011110111010000
322202120221101111100
43022112023313100
523423033012032
61320510344400
7150061303065
oct31226136720
98676841440
103394813392
111492313603
127a8abb100
1342142b129
14242c1ac6c
1514d08097c
hexca58bdd0

3394813392 has 30 divisors (see below), whose sum is σ = 9500762882. Its totient is φ = 1131604416.

The previous prime is 3394813361. The next prime is 3394813447. The reversal of 3394813392 is 2933184933.

3394813392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2796717456 + 598095936 = 52884^2 + 24456^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11787403 + ... + 11787690.

Almost surely, 23394813392 is an apocalyptic number.

It is an amenable number.

3394813392 is an abundant number, since it is smaller than the sum of its proper divisors (6105949490).

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

3394813392 is a wasteful number, since it uses less digits than its factorization.

3394813392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23575107 (or 23575098 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3394813392 is about 58265.0271775445. The cubic root of 3394813392 is about 1502.9295919358.

The spelling of 3394813392 in words is "three billion, three hundred ninety-four million, eight hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23575093 47150186 70725279 94300372 141450558 188600744 212175837 282901116 377201488 424351674 565802232 848703348 1131604464 1697406696 3394813392