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30357342 = 2341773151
BaseRepresentation
bin111001111001…
…1011101011110
32010010022110000
41303303131132
530232413332
63002355130
7516014241
oct163633536
963108400
1030357342
1116154a14
12a1bbaa6
13639b832
144063258
1529e9b7c
hex1cf375e

30357342 has 80 divisors (see below), whose sum is σ = 73494432. Its totient is φ = 9331200.

The previous prime is 30357323. The next prime is 30357361. The reversal of 30357342 is 24375303.

It is an interprime number because it is at equal distance from previous prime (30357323) and next prime (30357361).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200967 + ... + 201117.

Almost surely, 230357342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30357342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36747216).

30357342 is an abundant number, since it is smaller than the sum of its proper divisors (43137090).

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

30357342 is a wasteful number, since it uses less digits than its factorization.

30357342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 30357342 is about 5509.7497220836. The cubic root of 30357342 is about 311.9521006349.

The spelling of 30357342 in words is "thirty million, three hundred fifty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 81 102 146 151 153 162 219 302 306 438 453 459 657 906 918 1241 1314 1359 1377 1971 2482 2567 2718 2754 3723 3942 4077 5134 5913 7446 7701 8154 11023 11169 11826 12231 15402 22046 22338 23103 24462 33069 33507 46206 66138 67014 69309 99207 100521 138618 187391 198414 201042 207927 297621 374782 415854 562173 595242 892863 1124346 1686519 1785726 3373038 5059557 10119114 15178671 30357342