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315421040 = 245112271579
BaseRepresentation
bin10010110011001…
…111000101110000
3210222112001022202
4102303033011300
51121221433130
651144322332
710550014604
oct2263170560
9728461282
10315421040
11152057550
12897733a8
1350469c8c
142dc69504
151ca58145
hex12ccf170

315421040 has 80 divisors (see below), whose sum is σ = 804055680. Its totient is φ = 114120960.

The previous prime is 315421019. The next prime is 315421069. The reversal of 315421040 is 40124513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 198971 + ... + 200549.

It is an arithmetic number, because the mean of its divisors is an integer number (10050696).

Almost surely, 2315421040 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 315421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402027840).

315421040 is an abundant number, since it is smaller than the sum of its proper divisors (488634640).

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

315421040 is a wasteful number, since it uses less digits than its factorization.

315421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 315421040 is about 17760.0968465828. The cubic root of 315421040 is about 680.7122295315.

Adding to 315421040 its reverse (40124513), we get a palindrome (355545553).

The spelling of 315421040 in words is "three hundred fifteen million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 227 440 454 880 908 1135 1579 1816 2270 2497 3158 3632 4540 4994 6316 7895 9080 9988 12485 12632 15790 17369 18160 19976 24970 25264 31580 34738 39952 49940 63160 69476 86845 99880 126320 138952 173690 199760 277904 347380 358433 694760 716866 1389520 1433732 1792165 2867464 3584330 3942763 5734928 7168660 7885526 14337320 15771052 19713815 28674640 31542104 39427630 63084208 78855260 157710520 315421040