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348252672 = 2931911933
BaseRepresentation
bin10100110000011…
…110101000000000
3220021022001212010
4110300132220000
51203123041142
654320132520
711426045625
oct2460365000
9807261763
10348252672
11169641429
1298767140
13571c3a91
143437434c
1520890e9c
hex14c1ea00

348252672 has 80 divisors (see below), whose sum is σ = 976678560. Its totient is φ = 109965312.

The previous prime is 348252661. The next prime is 348252673. The reversal of 348252672 is 276252843.

It is a self number, because there is not a number n which added to its sum of digits gives 348252672.

It is not an unprimeable number, because it can be changed into a prime (348252673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23218 + ... + 35150.

It is an arithmetic number, because the mean of its divisors is an integer number (12208482).

Almost surely, 2348252672 is an apocalyptic number.

348252672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488339280).

348252672 is an abundant number, since it is smaller than the sum of its proper divisors (628425888).

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

348252672 is a wasteful number, since it uses less digits than its factorization.

348252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11973 (or 11957 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 348252672 is about 18661.5291977908. The cubic root of 348252672 is about 703.5551597470. Note that the first 3 decimals are identical.

The spelling of 348252672 in words is "three hundred forty-eight million, two hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 7296 9728 11933 14592 23866 29184 35799 47732 71598 95464 143196 190928 226727 286392 381856 453454 572784 680181 763712 906908 1145568 1360362 1527424 1813816 2291136 2720724 3054848 3627632 4582272 5441448 6109696 7255264 9164544 10882896 14510528 18329088 21765792 29021056 43531584 58042112 87063168 116084224 174126336 348252672