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74546340 = 223511179631
BaseRepresentation
bin1000111000101…
…11110010100100
312012021100100120
410130113302210
5123040440330
611221441540
71563430161
oct434276244
9165240316
1074546340
1139096850
1220b702b0
13125a0c7b
149c87068
156827c10
hex4717ca4

74546340 has 96 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 17942400.

The previous prime is 74546321. The next prime is 74546341. The reversal of 74546340 is 4364547.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (74546341) 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, 117825 + ... + 118455.

It is an arithmetic number, because the mean of its divisors is an integer number (2388960).

Almost surely, 274546340 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 74546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

74546340 is an abundant number, since it is smaller than the sum of its proper divisors (154793820).

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

74546340 is a wasteful number, since it uses less digits than its factorization.

74546340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 74546340 is about 8634.0222376364. The cubic root of 74546340 is about 420.8643198654.

The spelling of 74546340 in words is "seventy-four million, five hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 179 220 330 358 537 631 660 716 895 1074 1262 1790 1893 1969 2148 2524 2685 3155 3580 3786 3938 5370 5907 6310 6941 7572 7876 9465 9845 10740 11814 12620 13882 18930 19690 20823 23628 27764 29535 34705 37860 39380 41646 59070 69410 83292 104115 112949 118140 138820 208230 225898 338847 416460 451796 564745 677694 1129490 1242439 1355388 1694235 2258980 2484878 3388470 3727317 4969756 6212195 6776940 7454634 12424390 14909268 18636585 24848780 37273170 74546340