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30707424 = 253511359
BaseRepresentation
bin111010100100…
…0111011100000
32010210002200000
41311020323200
530330114144
63014100000
7522003006
oct165107340
963702600
1030707424
1116373a40
12a34a600
136491c97
144114a76
152a68769
hex1d48ee0

30707424 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 9279360.

The previous prime is 30707419. The next prime is 30707441. The reversal of 30707424 is 42470703.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85357 + ... + 85715.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 230707424 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 30707424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

30707424 is an abundant number, since it is smaller than the sum of its proper divisors (68358816).

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

30707424 is a wasteful number, since it uses less digits than its factorization.

30707424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 30707424 is about 5541.4279748094. The cubic root of 30707424 is about 313.1466681552.

The spelling of 30707424 in words is "thirty million, seven hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 359 396 432 486 528 594 648 718 792 864 891 972 1056 1077 1188 1296 1436 1584 1782 1944 2154 2376 2592 2673 2872 3168 3231 3564 3888 3949 4308 4752 5346 5744 6462 7128 7776 7898 8616 9504 9693 10692 11488 11847 12924 14256 15796 17232 19386 21384 23694 25848 28512 29079 31592 34464 35541 38772 42768 47388 51696 58158 63184 71082 77544 85536 87237 94776 103392 106623 116316 126368 142164 155088 174474 189552 213246 232632 284328 310176 319869 348948 379104 426492 465264 568656 639738 697896 852984 930528 959607 1137312 1279476 1395792 1705968 1919214 2558952 2791584 3411936 3838428 5117904 7676856 10235808 15353712 30707424