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30424640 = 265313067
BaseRepresentation
bin111010000001…
…1111001000000
32010020201202112
41310003321000
530242042030
63004034452
7516414401
oct164037100
963221675
1030424640
11161a0534
12a232a28
1363c335c
14407d9a8
152a0ea95
hex1d03e40

30424640 has 56 divisors (see below), whose sum is σ = 74810112. Its totient is φ = 11773440.

The previous prime is 30424637. The next prime is 30424649. The reversal of 30424640 is 4642403.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30424649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8387 + ... + 11453.

Almost surely, 230424640 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 30424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37405056).

30424640 is an abundant number, since it is smaller than the sum of its proper divisors (44385472).

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

30424640 is a wasteful number, since it uses less digits than its factorization.

30424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 30424640 is about 5515.8535150963. The cubic root of 30424640 is about 312.1824486249.

The spelling of 30424640 in words is "thirty million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 3067 4960 6134 9920 12268 15335 24536 30670 49072 61340 95077 98144 122680 190154 196288 245360 380308 475385 490720 760616 950770 981440 1521232 1901540 3042464 3803080 6084928 7606160 15212320 30424640