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30447424 = 26731973
BaseRepresentation
bin111010000100…
…1011101000000
32010021220000101
41310021131000
530243304144
63004332144
7516541000
oct164113500
963256011
1030447424
1116206667
12a244054
136400837
144088000
152a166d4
hex1d09740

30447424 has 112 divisors (see below), whose sum is σ = 75184000. Its totient is φ = 12192768.

The previous prime is 30447409. The next prime is 30447437. The reversal of 30447424 is 42474403.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 30447392 and 30447401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417052 + ... + 417124.

Almost surely, 230447424 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 30447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37592000).

30447424 is an abundant number, since it is smaller than the sum of its proper divisors (44736576).

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

30447424 is an equidigital number, since it uses as much as digits as its factorization.

30447424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 30447424 is about 5517.9184481107. The cubic root of 30447424 is about 312.2603568614.

The spelling of 30447424 in words is "thirty million, four hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 73 76 98 112 133 146 152 196 224 266 292 304 343 392 448 511 532 584 608 686 784 931 1022 1064 1168 1216 1372 1387 1568 1862 2044 2128 2336 2744 2774 3136 3577 3724 4088 4256 4672 5488 5548 6517 7154 7448 8176 8512 9709 10976 11096 13034 14308 14896 16352 19418 21952 22192 25039 26068 28616 29792 32704 38836 44384 50078 52136 57232 59584 67963 77672 88768 100156 104272 114464 135926 155344 200312 208544 228928 271852 310688 400624 417088 475741 543704 621376 801248 951482 1087408 1602496 1902964 2174816 3805928 4349632 7611856 15223712 30447424