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74339980 = 2251121317139
BaseRepresentation
bin1000110111001…
…01011010001100
312011212212021121
410123211122030
5123012334410
611213210324
71561610431
oct433453214
9164785247
1074339980
1138a65800
1220a909a4
131252b070
149c31b88
1567d69da
hex46e568c

74339980 has 144 divisors (see below), whose sum is σ = 197074080. Its totient is φ = 23316480.

The previous prime is 74339977. The next prime is 74339981. The reversal of 74339980 is 8993347.

It is not an unprimeable number, because it can be changed into a prime (74339981) 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 47 ways as a sum of consecutive naturals, for example, 534751 + ... + 534889.

It is an arithmetic number, because the mean of its divisors is an integer number (1368570).

Almost surely, 274339980 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 74339980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98537040).

74339980 is an abundant number, since it is smaller than the sum of its proper divisors (122734100).

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

74339980 is a wasteful number, since it uses less digits than its factorization.

74339980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 74339980 is about 8622.0635581049. The cubic root of 74339980 is about 420.4756138882.

The spelling of 74339980 in words is "seventy-four million, three hundred thirty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 121 130 139 143 170 187 220 221 242 260 278 286 340 374 442 484 556 572 605 695 715 748 884 935 1105 1210 1390 1430 1529 1573 1807 1870 2057 2210 2363 2420 2431 2780 2860 3058 3146 3614 3740 4114 4420 4726 4862 6116 6292 7228 7645 7865 8228 9035 9452 9724 10285 11815 12155 15290 15730 16819 18070 19877 20570 23630 24310 25993 26741 30580 30719 31460 33638 36140 39754 41140 47260 48620 51986 53482 61438 67276 79508 84095 99385 103972 106964 122876 129965 133705 153595 168190 198770 218647 259930 267410 285923 307190 336380 337909 397540 437294 519860 534820 571846 614380 675818 874588 1093235 1143692 1351636 1429615 1689545 2186470 2859230 3379090 3716999 4372940 5718460 6758180 7433998 14867996 18584995 37169990 74339980