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3413203464 = 2331164320107
BaseRepresentation
bin1100101101110001…
…0101101000001000
322210212112200221010
43023130111220020
523442240002324
61322404443520
7150403515336
oct31334255010
98725480833
103413203464
1114a1734310
127b30a95a0
13425199828
14245446b56
1514e9b4829
hexcb715a08

3413203464 has 64 divisors (see below), whose sum is σ = 9323677440. Its totient is φ = 1032644160.

The previous prime is 3413203463. The next prime is 3413203481. The reversal of 3413203464 is 4643023143.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3413203463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159699 + ... + 179805.

It is an arithmetic number, because the mean of its divisors is an integer number (145682460).

Almost surely, 23413203464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413203464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661838720).

3413203464 is an abundant number, since it is smaller than the sum of its proper divisors (5910473976).

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

3413203464 is a wasteful number, since it uses less digits than its factorization.

3413203464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20770 (or 20766 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3413203464 is about 58422.6280134675. The cubic root of 3413203464 is about 1505.6385503859.

The spelling of 3413203464 in words is "three billion, four hundred thirteen million, two hundred three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 643 1286 1929 2572 3858 5144 7073 7716 14146 15432 20107 21219 28292 40214 42438 56584 60321 80428 84876 120642 160856 169752 221177 241284 442354 482568 663531 884708 1327062 1769416 2654124 5308248 12928801 25857602 38786403 51715204 77572806 103430408 142216811 155145612 284433622 310291224 426650433 568867244 853300866 1137734488 1706601732 3413203464