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474184680 = 233531413109
BaseRepresentation
bin11100010000110…
…111101111101000
31020001021002002120
4130100313233220
51432342402210
6115015231240
714515334424
oct3420675750
91201232076
10474184680
11223734a72
12112978520
1377316a68
1446d95b84
152b969270
hex1c437be8

474184680 has 128 divisors (see below), whose sum is σ = 1504742400. Its totient is φ = 119347200.

The previous prime is 474184679. The next prime is 474184699. The reversal of 474184680 is 86481474.

It is a happy number.

It is a super-2 number, since 2×4741846802 = 449702221493404800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150966 + ... + 154074.

It is an arithmetic number, because the mean of its divisors is an integer number (11755800).

Almost surely, 2474184680 is an apocalyptic number.

474184680 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 474184680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752371200).

474184680 is an abundant number, since it is smaller than the sum of its proper divisors (1030557720).

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

474184680 is a wasteful number, since it uses less digits than its factorization.

474184680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 474184680 is about 21775.7819607012. The cubic root of 474184680 is about 779.7986988748.

The spelling of 474184680 in words is "four hundred seventy-four million, one hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 41 60 62 82 93 120 123 124 155 164 186 205 246 248 310 328 372 410 465 492 615 620 744 820 930 984 1230 1240 1271 1640 1860 2460 2542 3109 3720 3813 4920 5084 6218 6355 7626 9327 10168 12436 12710 15252 15545 18654 19065 24872 25420 30504 31090 37308 38130 46635 50840 62180 74616 76260 93270 96379 124360 127469 152520 186540 192758 254938 289137 373080 382407 385516 481895 509876 578274 637345 764814 771032 963790 1019752 1156548 1274690 1445685 1529628 1912035 1927580 2313096 2549380 2891370 3059256 3824070 3855160 3951539 5098760 5782740 7648140 7903078 11565480 11854617 15296280 15806156 19757695 23709234 31612312 39515390 47418468 59273085 79030780 94836936 118546170 158061560 237092340 474184680