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350521424 = 241119372833
BaseRepresentation
bin10100111001001…
…000100001010000
3220102120022222222
4110321020201100
51204213141144
654440520212
711454245231
oct2471104120
9812508888
10350521424
1116a950a30
1299480068
1357809636
14347a5088
1520b8d2ee
hex14e48850

350521424 has 80 divisors (see below), whose sum is σ = 801228480. Its totient is φ = 146810880.

The previous prime is 350521411. The next prime is 350521447. The reversal of 350521424 is 424125053.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 350521393 and 350521402.

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, 122312 + ... + 125144.

It is an arithmetic number, because the mean of its divisors is an integer number (10015356).

Almost surely, 2350521424 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 350521424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400614240).

350521424 is an abundant number, since it is smaller than the sum of its proper divisors (450707056).

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

350521424 is a wasteful number, since it uses less digits than its factorization.

350521424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 350521424 is about 18722.2173900422. The cubic root of 350521424 is about 705.0796643877.

Adding to 350521424 its reverse (424125053), we get a palindrome (774646477).

The spelling of 350521424 in words is "three hundred fifty million, five hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 37 38 44 74 76 88 148 152 176 209 296 304 407 418 592 703 814 836 1406 1628 1672 2812 2833 3256 3344 5624 5666 6512 7733 11248 11332 15466 22664 30932 31163 45328 53827 61864 62326 104821 107654 123728 124652 209642 215308 249304 419284 430616 498608 592097 838568 861232 1153031 1184194 1677136 1991599 2306062 2368388 3983198 4612124 4736776 7966396 9224248 9473552 15932792 18448496 21907589 31865584 43815178 87630356 175260712 350521424