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348950364 = 22373174987
BaseRepresentation
bin10100110011001…
…000111101011100
3220022121111220120
4110303020331130
51203312402424
654343114540
711435013000
oct2463107534
9808544816
10348950364
11169a78634
1298a42a50
13573a9509
14344b6700
152097ca79
hex14cc8f5c

348950364 has 96 divisors (see below), whose sum is σ = 1005580800. Its totient is φ = 93816576.

The previous prime is 348950321. The next prime is 348950377. The reversal of 348950364 is 463059843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67479 + ... + 72465.

It is an arithmetic number, because the mean of its divisors is an integer number (10474800).

Almost surely, 2348950364 is an apocalyptic number.

348950364 is a gapful number since it is divisible by the number (34) 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 348950364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502790400).

348950364 is an abundant number, since it is smaller than the sum of its proper divisors (656630436).

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

348950364 is a wasteful number, since it uses less digits than its factorization.

348950364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 348950364 is about 18680.2131679486. The cubic root of 348950364 is about 704.0246822226.

The spelling of 348950364 in words is "three hundred forty-eight million, nine hundred fifty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 686 714 833 1029 1372 1428 1666 2058 2499 3332 4116 4987 4998 5831 9974 9996 11662 14961 17493 19948 23324 29922 34909 34986 59844 69818 69972 84779 104727 139636 169558 209454 244363 254337 339116 418908 488726 508674 593453 733089 977452 1017348 1186906 1466178 1710541 1780359 2373812 2932356 3421082 3560718 4154171 5131623 6842164 7121436 8308342 10263246 12462513 16616684 20526492 24925026 29079197 49850052 58158394 87237591 116316788 174475182 348950364