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30085398 = 2337195971
BaseRepresentation
bin111001011000…
…1000100010110
32002121111102000
41302301010112
530200213043
62552500130
7513502350
oct162610426
962544360
1030085398
1115a89672
12a0aa646
136304b15
143dd20d0
1529942d3
hex1cb1116

30085398 has 128 divisors (see below), whose sum is σ = 82944000. Its totient is φ = 7892640.

The previous prime is 30085387. The next prime is 30085409. The reversal of 30085398 is 89358003.

It is an interprime number because it is at equal distance from previous prime (30085387) and next prime (30085409).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423703 + ... + 423773.

It is an arithmetic number, because the mean of its divisors is an integer number (648000).

Almost surely, 230085398 is an apocalyptic number.

30085398 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30085398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472000).

30085398 is an abundant number, since it is smaller than the sum of its proper divisors (52858602).

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

30085398 is a wasteful number, since it uses less digits than its factorization.

30085398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 30085398 is about 5485.0157702599. The cubic root of 30085398 is about 311.0178062130.

The spelling of 30085398 in words is "thirty million, eighty-five thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 59 63 71 114 118 126 133 142 171 177 189 213 266 342 354 378 399 413 426 497 513 531 639 798 826 994 1026 1062 1121 1197 1239 1278 1349 1491 1593 1917 2242 2394 2478 2698 2982 3186 3363 3591 3717 3834 4047 4189 4473 6726 7182 7434 7847 8094 8378 8946 9443 10089 11151 12141 12567 13419 15694 18886 20178 22302 23541 24282 25134 26838 28329 29323 30267 36423 37701 47082 56658 58646 60534 70623 72846 75402 79591 84987 87969 113103 141246 159182 169974 175938 211869 226206 238773 254961 263907 423738 477546 509922 527814 557137 716319 791721 1114274 1432638 1583442 1671411 2148957 3342822 4297914 5014233 10028466 15042699 30085398