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30386772 = 22331323941
BaseRepresentation
bin111001111101…
…0101001010100
32010011210211000
41303322221110
530234334042
63003143300
7516166113
oct163725124
963153730
1030386772
1116175039
12a214b30
1363ac050
14406dc7a
152a0374c
hex1cfaa54

30386772 has 96 divisors (see below), whose sum is σ = 88623360. Its totient is φ = 8933760.

The previous prime is 30386771. The next prime is 30386779. The reversal of 30386772 is 27768303.

30386772 = T293 + T294 + ... + T591.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30386771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31822 + ... + 32762.

It is an arithmetic number, because the mean of its divisors is an integer number (923160).

Almost surely, 230386772 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 30386772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44311680).

30386772 is an abundant number, since it is smaller than the sum of its proper divisors (58236588).

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

30386772 is a wasteful number, since it uses less digits than its factorization.

30386772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 30386772 is about 5512.4197953349. The cubic root of 30386772 is about 312.0528756539.

The spelling of 30386772 in words is "thirty million, three hundred eighty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 941 1196 1242 1404 1794 1882 2484 2691 2823 3588 3764 5382 5646 8073 8469 10764 11292 12233 16146 16938 21643 24466 25407 32292 33876 36699 43286 48932 50814 64929 73398 86572 101628 110097 129858 146796 194787 220194 259716 281359 330291 389574 440388 562718 584361 660582 779148 844077 1125436 1168722 1321164 1688154 2337444 2532231 3376308 5064462 7596693 10128924 15193386 30386772