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42337320 = 23351931599
BaseRepresentation
bin1010000110000…
…0010000101000
32221122221212220
42201200100220
541314243240
64111234040
71022601264
oct241402050
987587786
1042337320
1121997723
1212218920
138a0468c
1458a10a4
153ab45d0
hex2860428

42337320 has 128 divisors (see below), whose sum is σ = 138240000. Its totient is φ = 10333440.

The previous prime is 42337283. The next prime is 42337331. The reversal of 42337320 is 2373324.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70381 + ... + 70979.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 242337320 is an apocalyptic number.

42337320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42337320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120000).

42337320 is an abundant number, since it is smaller than the sum of its proper divisors (95902680).

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

42337320 is a wasteful number, since it uses less digits than its factorization.

42337320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 42337320 is about 6506.7134561159. The cubic root of 42337320 is about 348.5307662349.

The spelling of 42337320 in words is "forty-two million, three hundred thirty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 599 620 744 760 930 1140 1178 1198 1240 1767 1797 1860 2280 2356 2396 2945 2995 3534 3594 3720 4712 4792 5890 5990 7068 7188 8835 8985 11381 11780 11980 14136 14376 17670 17970 18569 22762 23560 23960 34143 35340 35940 37138 45524 55707 56905 68286 70680 71880 74276 91048 92845 111414 113810 136572 148552 170715 185690 222828 227620 273144 278535 341430 352811 371380 445656 455240 557070 682860 705622 742760 1058433 1114140 1365720 1411244 1764055 2116866 2228280 2822488 3528110 4233732 5292165 7056220 8467464 10584330 14112440 21168660 42337320