Search a number
-
+
30017088 = 263329599
BaseRepresentation
bin111001010000…
…0011001000000
32002111000201000
41302200121000
530141021323
62551212000
7513066243
oct162403100
962430630
1030017088
1115a42312
12a077000
1362ac9ba
143db525a
15297de43
hex1ca0640

30017088 has 112 divisors (see below), whose sum is σ = 91440000. Its totient is φ = 9644544.

The previous prime is 30017069. The next prime is 30017107. The reversal of 30017088 is 88071003.

It is an interprime number because it is at equal distance from previous prime (30017069) and next prime (30017107).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49813 + ... + 50411.

Almost surely, 230017088 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 30017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720000).

30017088 is an abundant number, since it is smaller than the sum of its proper divisors (61422912).

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

30017088 is a wasteful number, since it uses less digits than its factorization.

30017088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 30017088 is about 5478.7852668269. The cubic root of 30017088 is about 310.7822353854.

The spelling of 30017088 in words is "thirty million, seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 599 696 783 864 928 1044 1198 1392 1566 1728 1797 1856 2088 2396 2784 3132 3594 4176 4792 5391 5568 6264 7188 8352 9584 10782 12528 14376 16173 16704 17371 19168 21564 25056 28752 32346 34742 38336 43128 50112 52113 57504 64692 69484 86256 104226 115008 129384 138968 156339 172512 208452 258768 277936 312678 345024 416904 469017 517536 555872 625356 833808 938034 1035072 1111744 1250712 1667616 1876068 2501424 3335232 3752136 5002848 7504272 10005696 15008544 30017088