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319463648 = 2575371379
BaseRepresentation
bin10011000010101…
…010000011100000
3211021010102201222
4103002222003200
51123240314043
651411114212
710626252620
oct2302520340
9737112658
10319463648
11154368849
128aba2968
135125405a
14305dc880
151d0a5d68
hex130aa0e0

319463648 has 96 divisors (see below), whose sum is σ = 744629760. Its totient is φ = 132088320.

The previous prime is 319463611. The next prime is 319463659. The reversal of 319463648 is 846364913.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (373248) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 319463599 and 319463608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842723 + ... + 843101.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2319463648 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 319463648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

319463648 is an abundant number, since it is smaller than the sum of its proper divisors (425166112).

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

319463648 is a wasteful number, since it uses less digits than its factorization.

319463648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 319463648 is about 17873.5460387691. The cubic root of 319463648 is about 683.6080195424.

The spelling of 319463648 in words is "three hundred nineteen million, four hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 71 106 112 142 212 224 284 371 379 424 497 568 742 758 848 994 1136 1484 1516 1696 1988 2272 2653 2968 3032 3763 3976 5306 5936 6064 7526 7952 10612 11872 12128 15052 15904 20087 21224 26341 26909 30104 40174 42448 52682 53818 60208 80348 84896 105364 107636 120416 140609 160696 188363 210728 215272 281218 321392 376726 421456 430544 562436 642784 753452 842912 861088 1124872 1426177 1506904 2249744 2852354 3013808 4499488 5704708 6027616 9983239 11409416 19966478 22818832 39932956 45637664 79865912 159731824 319463648