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3468748100 = 2252311118951
BaseRepresentation
bin1100111011000000…
…1110010101000100
322221202001122211212
43032300032111010
524100444414400
61332111150552
7151646605136
oct31660162504
98852048755
103468748100
111520021874
12809815458
1343384688c
1424c985056
151547d7335
hexcec0e544

3468748100 has 36 divisors (see below), whose sum is σ = 7770002688. Its totient is φ = 1342740000.

The previous prime is 3468748057. The next prime is 3468748117. The reversal of 3468748100 is 18478643.

It is a super-2 number, since 2×34687481002 = 24064426762507220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556376 + ... + 562575.

It is an arithmetic number, because the mean of its divisors is an integer number (215833408).

Almost surely, 23468748100 is an apocalyptic number.

It is an amenable number.

3468748100 is an abundant number, since it is smaller than the sum of its proper divisors (4301254588).

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

3468748100 is a wasteful number, since it uses less digits than its factorization.

3468748100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118996 (or 1118989 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 3468748100 is about 58896.0788168448. The cubic root of 3468748100 is about 1513.7619602411.

The spelling of 3468748100 in words is "three billion, four hundred sixty-eight million, seven hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 1118951 2237902 4475804 5594755 11189510 22379020 27973775 34687481 55947550 69374962 111895100 138749924 173437405 346874810 693749620 867187025 1734374050 3468748100