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74953340 = 225721117409
BaseRepresentation
bin1000111011110…
…11001001111100
312020001000122122
410131323021330
5123142001330
611234302112
71600043600
oct435731174
9166030578
1074953340
1139344610
1221127938
13126b42b7
149d51500
1568a85e5
hex477b27c

74953340 has 144 divisors (see below), whose sum is σ = 212012640. Its totient is φ = 21934080.

The previous prime is 74953339. The next prime is 74953363. The reversal of 74953340 is 4335947.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 74953340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183056 + ... + 183464.

It is an arithmetic number, because the mean of its divisors is an integer number (1472310).

Almost surely, 274953340 is an apocalyptic number.

74953340 is a gapful number since it is divisible by the number (70) 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 74953340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106006320).

74953340 is an abundant number, since it is smaller than the sum of its proper divisors (137059300).

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

74953340 is a wasteful number, since it uses less digits than its factorization.

74953340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 74953340 is about 8657.5597023642. The cubic root of 74953340 is about 421.6288599125.

The spelling of 74953340 in words is "seventy-four million, nine hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 49 55 68 70 77 85 98 110 119 140 154 170 187 196 220 238 245 308 340 374 385 409 476 490 539 595 748 770 818 833 935 980 1078 1190 1309 1540 1636 1666 1870 2045 2156 2380 2618 2695 2863 3332 3740 4090 4165 4499 5236 5390 5726 6545 6953 8180 8330 8998 9163 10780 11452 13090 13906 14315 16660 17996 18326 20041 22495 26180 27812 28630 31493 34765 36652 40082 44990 45815 48671 57260 62986 69530 76483 80164 89980 91630 97342 100205 125972 139060 152966 157465 183260 194684 200410 220451 243355 305932 314930 340697 382415 400820 440902 486710 535381 629860 681394 764830 881804 973420 1070762 1102255 1362788 1529660 1703485 2141524 2204510 2676905 3406970 3747667 4409020 5353810 6813940 7495334 10707620 14990668 18738335 37476670 74953340