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30148335 = 335761523
BaseRepresentation
bin111001100000…
…0011011101111
32002201200202000
41303000123233
530204221320
62554103343
7514154010
oct163003357
962650660
1030148335
1116021988
12a11ab53
136327669
14400b007
1529a7c90
hex1cc06ef

30148335 has 64 divisors (see below), whose sum is σ = 62376960. Its totient is φ = 13530240.

The previous prime is 30148333. The next prime is 30148367. The reversal of 30148335 is 53384103.

It is a happy number.

It is not a de Polignac number, because 30148335 - 21 = 30148333 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 30148299 and 30148308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30148333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57384 + ... + 57906.

It is an arithmetic number, because the mean of its divisors is an integer number (974640).

Almost surely, 230148335 is an apocalyptic number.

30148335 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30148335 is an abundant number, since it is smaller than the sum of its proper divisors (32228625).

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

30148335 is a wasteful number, since it uses less digits than its factorization.

30148335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30148335 is about 5490.7499487775. The cubic root of 30148335 is about 311.2345325453.

The spelling of 30148335 in words is "thirty million, one hundred forty-eight thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 61 63 105 135 183 189 305 315 427 523 549 915 945 1281 1569 1647 2135 2615 2745 3661 3843 4707 6405 7845 8235 10983 11529 14121 18305 19215 23535 31903 32949 54915 57645 70605 95709 98847 159515 164745 223321 287127 478545 494235 669963 861381 1116605 1435635 2009889 3349815 4306905 6029667 10049445 30148335