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30508416 = 273271373
BaseRepresentation
bin111010001100…
…0010110000000
32010101222200100
41310120112000
530302232131
63005522400
7520213551
oct164302600
963358610
1030508416
1116248474
12a273400
136422523
1440a2328
152a297e6
hex1d18580

30508416 has 96 divisors (see below), whose sum is σ = 89266320. Its totient is φ = 9999360.

The previous prime is 30508411. The next prime is 30508417. The reversal of 30508416 is 61480503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 30508416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30508411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81606 + ... + 81978.

Almost surely, 230508416 is an apocalyptic number.

30508416 is a gapful number since it is divisible by the number (36) 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 30508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44633160).

30508416 is an abundant number, since it is smaller than the sum of its proper divisors (58757904).

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

30508416 is a wasteful number, since it uses less digits than its factorization.

30508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30508416 is about 5523.4424048776. The cubic root of 30508416 is about 312.4687234831.

Adding to 30508416 its reverse (61480503), we get a palindrome (91988919).

The spelling of 30508416 in words is "thirty million, five hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 373 384 426 568 576 639 746 852 1119 1136 1152 1278 1492 1704 2238 2272 2556 2984 3357 3408 4476 4544 5112 5968 6714 6816 8952 9088 10224 11936 13428 13632 17904 20448 23872 26483 26856 27264 35808 40896 47744 52966 53712 71616 79449 81792 105932 107424 143232 158898 211864 214848 238347 317796 423728 429696 476694 635592 847456 953388 1271184 1694912 1906776 2542368 3389824 3813552 5084736 7627104 10169472 15254208 30508416