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61430424 = 233112367151
BaseRepresentation
bin1110101001010…
…1101010011000
311021120222200220
43222111222120
5111211233144
610032400040
71344102306
oct352255230
9137528626
1061430424
1131748650
12186a6020
13c95b083
148231276
1555d6919
hex3a95a98

61430424 has 128 divisors (see below), whose sum is σ = 178606080. Its totient is φ = 17424000.

The previous prime is 61430417. The next prime is 61430429. The reversal of 61430424 is 42403416.

61430424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61430394 and 61430403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61430429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406749 + ... + 406899.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 261430424 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 61430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303040).

61430424 is an abundant number, since it is smaller than the sum of its proper divisors (117175656).

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

61430424 is a wasteful number, since it uses less digits than its factorization.

61430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 61430424 is about 7837.7563115984. The cubic root of 61430424 is about 394.5734304399.

The spelling of 61430424 in words is "sixty-one million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 67 69 88 92 132 134 138 151 184 201 253 264 268 276 302 402 453 506 536 552 604 737 759 804 906 1012 1208 1474 1518 1541 1608 1661 1812 2024 2211 2948 3036 3082 3322 3473 3624 4422 4623 4983 5896 6072 6164 6644 6946 8844 9246 9966 10117 10419 12328 13288 13892 16951 17688 18492 19932 20234 20838 27784 30351 33902 36984 38203 39864 40468 41676 50853 60702 67804 76406 80936 83352 101706 111287 114609 121404 135608 152812 203412 222574 229218 232691 242808 305624 333861 406824 445148 458436 465382 667722 698073 890296 916872 930764 1335444 1396146 1861528 2559601 2670888 2792292 5119202 5584584 7678803 10238404 15357606 20476808 30715212 61430424