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348064838464 = 2674118949523
BaseRepresentation
bin1010001000010100100…
…01111111001101000000
31020021102020101210210111
411010022101333031000
521200314044312324
6423522045241104
734101241211620
oct5041221771500
91207366353714
10348064838464
111246825888a2
125755a263194
1326a8c9a6625
1412bbc854880
1590c21ec794
hex510a47f340

348064838464 has 56 divisors (see below), whose sum is σ = 808614088128. Its totient is φ = 145532328960.

The previous prime is 348064838411. The next prime is 348064838477. The reversal of 348064838464 is 464838460843.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3480648384642 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348064838399 and 348064838408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9456394 + ... + 9493129.

It is an arithmetic number, because the mean of its divisors is an integer number (14439537288).

Almost surely, 2348064838464 is an apocalyptic number.

It is an amenable number.

348064838464 is an abundant number, since it is smaller than the sum of its proper divisors (460549249664).

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

348064838464 is a wasteful number, since it uses less digits than its factorization.

348064838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18949583 (or 18949573 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 58.

The spelling of 348064838464 in words is "three hundred forty-eight billion, sixty-four million, eight hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 9184 18368 18949523 37899046 75798092 132646661 151596184 265293322 303192368 530586644 606384736 776930443 1061173288 1212769472 1553860886 2122346576 3107721772 4244693152 5438513101 6215443544 8489386304 10877026202 12430887088 21754052404 24861774176 43508104808 49723548352 87016209616 174032419232 348064838464