Search a number
-
+
930650424 = 2331159149401
BaseRepresentation
bin110111011110001…
…001100100111000
32101212011221101020
4313132021210320
53401221303144
6232203022440
732030253354
oct6736114470
92355157336
10930650424
11438367490
1221b80aa20
1311aa68732
148b858464
1556a83419
hex37789938

930650424 has 128 divisors (see below), whose sum is σ = 2604960000. Its totient is φ = 274688000.

The previous prime is 930650417. The next prime is 930650437. The reversal of 930650424 is 424056039.

It is a super-2 number, since 2×9306504242 = 1732220423382759552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2320624 + ... + 2321024.

It is an arithmetic number, because the mean of its divisors is an integer number (20351250).

Almost surely, 2930650424 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 930650424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302480000).

930650424 is an abundant number, since it is smaller than the sum of its proper divisors (1674309576).

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

930650424 is a wasteful number, since it uses less digits than its factorization.

930650424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 930650424 is about 30506.5636216208. The cubic root of 930650424 is about 976.3275097909.

The spelling of 930650424 in words is "nine hundred thirty million, six hundred fifty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 149 177 236 264 298 354 401 447 472 596 649 708 802 894 1192 1203 1298 1416 1604 1639 1788 1947 2406 2596 3208 3278 3576 3894 4411 4812 4917 5192 6556 7788 8791 8822 9624 9834 13112 13233 15576 17582 17644 19668 23659 26373 26466 35164 35288 39336 47318 52746 52932 59749 70328 70977 94636 96701 105492 105864 119498 141954 179247 189272 193402 210984 238996 260249 283908 290103 358494 386804 477992 520498 567816 580206 657239 716988 773608 780747 1040996 1160412 1314478 1433976 1561494 1971717 2081992 2320824 2628956 3122988 3525191 3943434 5257912 6245976 7050382 7886868 10575573 14100764 15773736 21151146 28201528 38777101 42302292 77554202 84604584 116331303 155108404 232662606 310216808 465325212 930650424