Search a number
-
+
74994240 = 2635191409
BaseRepresentation
bin1000111100001…
…01001001000000
312020010002202110
410132011021000
5123144303430
611235215320
71600304046
oct436051100
9166102673
1074994240
1139372312
1221147540
13126c9ab9
149d62396
1568b57b0
hex4785240

74994240 has 112 divisors (see below), whose sum is σ = 239938560. Its totient is φ = 19845120.

The previous prime is 74994223. The next prime is 74994277. The reversal of 74994240 is 4249947.

It is a happy number.

It is a super-3 number, since 3×749942403 (a number of 25 digits) contains 333 as substring.

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, 183156 + ... + 183564.

Almost surely, 274994240 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 74994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119969280).

74994240 is an abundant number, since it is smaller than the sum of its proper divisors (164944320).

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

74994240 is a wasteful number, since it uses less digits than its factorization.

74994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 74994240 is about 8659.9214777041. The cubic root of 74994240 is about 421.7055364364.

The spelling of 74994240 in words is "seventy-four million, nine hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 191 192 240 320 382 409 480 573 764 818 955 960 1146 1227 1528 1636 1910 2045 2292 2454 2865 3056 3272 3820 4090 4584 4908 5730 6112 6135 6544 7640 8180 9168 9816 11460 12224 12270 13088 15280 16360 18336 19632 22920 24540 26176 30560 32720 36672 39264 45840 49080 61120 65440 78119 78528 91680 98160 130880 156238 183360 196320 234357 312476 390595 392640 468714 624952 781190 937428 1171785 1249904 1562380 1874856 2343570 2499808 3124760 3749712 4687140 4999616 6249520 7499424 9374280 12499040 14998848 18748560 24998080 37497120 74994240