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30814434 = 232742331
BaseRepresentation
bin111010110001…
…1000011100010
32010222112110100
41311203003202
530342030214
63020243230
7522630000
oct165430342
963875410
1030814434
1116437382
12a3a0516
1364cb8c1
144141a70
152a8a309
hex1d630e2

30814434 has 120 divisors (see below), whose sum is σ = 83895552. Its totient is φ = 8149680.

The previous prime is 30814397. The next prime is 30814463. The reversal of 30814434 is 43441803.

It is a junction number, because it is equal to n+sod(n) for n = 30814398 and 30814407.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 993999 + ... + 994029.

Almost surely, 230814434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30814434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41947776).

30814434 is an abundant number, since it is smaller than the sum of its proper divisors (53081118).

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

30814434 is a wasteful number, since it uses less digits than its factorization.

30814434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30814434 is about 5551.0750310188. The cubic root of 30814434 is about 313.5100002152.

The spelling of 30814434 in words is "thirty million, eight hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 49 62 63 69 93 98 126 138 147 161 186 207 217 279 294 322 343 414 434 441 483 558 651 686 713 882 966 1029 1127 1302 1426 1449 1519 1953 2058 2139 2254 2401 2898 3038 3087 3381 3906 4278 4557 4802 4991 6174 6417 6762 7203 7889 9114 9982 10143 10633 12834 13671 14406 14973 15778 20286 21266 21609 23667 27342 29946 31899 34937 43218 44919 47334 55223 63798 69874 71001 74431 89838 95697 104811 110446 142002 148862 165669 191394 209622 223293 244559 314433 331338 446586 489118 497007 628866 669879 733677 994014 1339758 1467354 1711913 2201031 3423826 4402062 5135739 10271478 15407217 30814434