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3468882417 = 3711131676917
BaseRepresentation
bin1100111011000010…
…1111000111110001
322221202022111002120
43032300233013301
524101013214132
61332114104453
7151651004550
oct31660570761
98852274076
103468882417
111520103780
1280987b129
13433892a60
1424c9bbd97
1515481202c
hexcec2f1f1

3468882417 has 64 divisors (see below), whose sum is σ = 6248116224. Its totient is φ = 1653200640.

The previous prime is 3468882413. The next prime is 3468882427. The reversal of 3468882417 is 7142888643.

It is not a de Polignac number, because 3468882417 - 22 = 3468882413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3468882417.

It is not an unprimeable number, because it can be changed into a prime (3468882413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498043 + ... + 504959.

It is an arithmetic number, because the mean of its divisors is an integer number (97626816).

Almost surely, 23468882417 is an apocalyptic number.

It is an amenable number.

3468882417 is a deficient number, since it is larger than the sum of its proper divisors (2779233807).

3468882417 is a wasteful number, since it uses less digits than its factorization.

3468882417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118.

The product of its digits is 2064384, while the sum is 51.

The square root of 3468882417 is about 58897.2190939436. The cubic root of 3468882417 is about 1513.7814986389.

The spelling of 3468882417 in words is "three billion, four hundred sixty-eight million, eight hundred eighty-two thousand, four hundred seventeen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 167 231 273 429 501 1001 1169 1837 2171 3003 3507 5511 6513 6917 12859 15197 20751 23881 38577 45591 48419 71643 76087 89921 145257 167167 228261 269763 501501 532609 629447 989131 1155139 1597827 1888341 2967393 3465417 6923917 8085973 12706529 15016807 20771751 24257919 38119587 45050421 88945703 105117649 165184877 266837109 315352947 495554631 1156294139 3468882417