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469300320 = 253253110513
BaseRepresentation
bin11011111110001…
…111010001100000
31012201001221000100
4123332033101200
51430120102240
6114322422400
714425662336
oct3376172140
91181057010
10469300320
112209a9305
12111201a00
13762c67c8
1446483b56
152b301e30
hex1bf8f460

469300320 has 144 divisors (see below), whose sum is σ = 1653305472. Its totient is φ = 121098240.

The previous prime is 469300313. The next prime is 469300331. The reversal of 469300320 is 23003964.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39384 + ... + 49896.

It is an arithmetic number, because the mean of its divisors is an integer number (11481288).

Almost surely, 2469300320 is an apocalyptic number.

469300320 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 469300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826652736).

469300320 is an abundant number, since it is smaller than the sum of its proper divisors (1184005152).

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

469300320 is a wasteful number, since it uses less digits than its factorization.

469300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10565 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 469300320 is about 21663.3404626341. The cubic root of 469300320 is about 777.1120026575.

The spelling of 469300320 in words is "four hundred sixty-nine million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 10513 11160 14880 21026 22320 31539 42052 44640 52565 63078 84104 94617 105130 126156 157695 168208 189234 210260 252312 315390 325903 336416 378468 420520 473085 504624 630780 651806 756936 841040 946170 977709 1009248 1261560 1303612 1513872 1629515 1682080 1892340 1955418 2523120 2607224 2933127 3027744 3259030 3784680 3910836 4888545 5046240 5214448 5866254 6518060 7569360 7821672 9777090 10428896 11732508 13036120 14665635 15138720 15643344 19554180 23465016 26072240 29331270 31286688 39108360 46930032 52144480 58662540 78216720 93860064 117325080 156433440 234650160 469300320