Search a number
-
+
30380988 = 22311475983
BaseRepresentation
bin111001111100…
…1001110111100
32010011111212210
41303321032330
530234142423
63003100420
7516143211
oct163711674
963144783
1030380988
1116170760
12a211710
1363a9521
14406bb08
152a01b93
hex1cf93bc

30380988 has 96 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 8751040.

The previous prime is 30380969. The next prime is 30380993. The reversal of 30380988 is 88908303.

It is a happy number.

It is a super-2 number, since 2×303809882 = 1846008863712288, which contains 22 as substring.

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, 365995 + ... + 366077.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 230380988 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 30380988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

30380988 is an abundant number, since it is smaller than the sum of its proper divisors (50904132).

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

30380988 is a wasteful number, since it uses less digits than its factorization.

30380988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 30380988 is about 5511.8951368835. The cubic root of 30380988 is about 312.0330750603.

The spelling of 30380988 in words is "thirty million, three hundred eighty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 59 66 83 94 118 132 141 166 177 188 236 249 282 332 354 498 517 564 649 708 913 996 1034 1298 1551 1826 1947 2068 2596 2739 2773 3102 3652 3894 3901 4897 5478 5546 6204 7788 7802 8319 9794 10956 11092 11703 14691 15604 16638 19588 23406 29382 30503 33276 42911 46812 53867 58764 61006 85822 91509 107734 122012 128733 161601 171644 183018 215468 230159 257466 323202 366036 460318 514932 646404 690477 920636 1380954 2531749 2761908 5063498 7595247 10126996 15190494 30380988