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348029504 = 2671191401
BaseRepresentation
bin10100101111101…
…000001001000000
3220020212201201122
4110233220021000
51203043421004
654311251412
711424126164
oct2457501100
9806781648
10348029504
111694a9799
1298679b68
1357146324
1434316ca4
1520849cbe
hex14be8240

348029504 has 56 divisors (see below), whose sum is σ = 705770496. Its totient is φ = 170240000.

The previous prime is 348029497. The next prime is 348029509. The reversal of 348029504 is 405920843.

It is a super-2 number, since 2×3480295042 = 242249071308972032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348029509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867704 + ... + 868104.

Almost surely, 2348029504 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 348029504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352885248).

348029504 is an abundant number, since it is smaller than the sum of its proper divisors (357740992).

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

348029504 is a wasteful number, since it uses less digits than its factorization.

348029504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 348029504 is about 18655.5488796229. The cubic root of 348029504 is about 703.4048430745.

The spelling of 348029504 in words is "three hundred forty-eight million, twenty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 71 142 191 284 382 401 568 764 802 1136 1528 1604 2272 3056 3208 4544 6112 6416 12224 12832 13561 25664 27122 28471 54244 56942 76591 108488 113884 153182 216976 227768 306364 433952 455536 612728 867904 911072 1225456 1822144 2450912 4901824 5437961 10875922 21751844 43503688 87007376 174014752 348029504