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30415104 = 283243307
BaseRepresentation
bin111010000000…
…1100100000000
32010020020200100
41310001210000
530241240404
63003522400
7516344526
oct164014400
963206610
1030415104
1116194355
12a229400
1363bbc05
14407a316
152a0bd39
hex1d01900

30415104 has 108 divisors (see below), whose sum is σ = 90025936. Its totient is φ = 9870336.

The previous prime is 30415087. The next prime is 30415109. The reversal of 30415104 is 40151403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30415109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98919 + ... + 99225.

Almost surely, 230415104 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 30415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012968).

30415104 is an abundant number, since it is smaller than the sum of its proper divisors (59610832).

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

30415104 is a wasteful number, since it uses less digits than its factorization.

30415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30415104 is about 5514.9890299075. The cubic root of 30415104 is about 312.1498294177.

Adding to 30415104 its reverse (40151403), we get a palindrome (70566507).

The spelling of 30415104 in words is "thirty million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 307 344 384 387 516 576 614 688 768 774 921 1032 1152 1228 1376 1548 1842 2064 2304 2456 2752 2763 3096 3684 4128 4912 5504 5526 6192 7368 8256 9824 11008 11052 12384 13201 14736 16512 19648 22104 24768 26402 29472 33024 39296 39603 44208 49536 52804 58944 78592 79206 88416 99072 105608 117888 118809 158412 176832 211216 235776 237618 316824 353664 422432 475236 633648 707328 844864 950472 1267296 1689728 1900944 2534592 3379456 3801888 5069184 7603776 10138368 15207552 30415104