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314452530 = 23457311789
BaseRepresentation
bin10010101111100…
…010101000110010
3210220200211210000
4102233202220302
51120444440110
651111450430
710535542140
oct2257425062
9726624700
10314452530
11151555927
1289386a16
13501bb1b2
142da96590
151c9161c0
hex12be2a32

314452530 has 160 divisors (see below), whose sum is σ = 998046720. Its totient is φ = 69517440.

The previous prime is 314452487. The next prime is 314452543. The reversal of 314452530 is 35254413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314452494 and 314452503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174876 + ... + 176664.

It is an arithmetic number, because the mean of its divisors is an integer number (6237792).

Almost surely, 2314452530 is an apocalyptic number.

314452530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314452530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499023360).

314452530 is an abundant number, since it is smaller than the sum of its proper divisors (683594190).

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

314452530 is a wasteful number, since it uses less digits than its factorization.

314452530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 314452530 is about 17732.8094220854. The cubic root of 314452530 is about 680.0147992742.

The spelling of 314452530 in words is "three hundred fourteen million, four hundred fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 81 90 93 105 126 135 155 162 186 189 210 217 270 279 310 315 378 405 434 465 558 567 630 651 810 837 930 945 1085 1134 1302 1395 1674 1789 1890 1953 2170 2511 2790 2835 3255 3578 3906 4185 5022 5367 5670 5859 6510 8370 8945 9765 10734 11718 12523 12555 16101 17577 17890 19530 25046 25110 26835 29295 32202 35154 37569 48303 53670 55459 58590 62615 75138 80505 87885 96606 110918 112707 125230 144909 161010 166377 175770 187845 225414 241515 277295 289818 332754 338121 375690 388213 483030 499131 554590 563535 676242 724545 776426 831885 998262 1014363 1127070 1164639 1449090 1497393 1663770 1690605 1941065 2028726 2329278 2495655 2994786 3381210 3493917 3882130 4492179 4991310 5071815 5823195 6987834 7486965 8984358 10143630 10481751 11646390 14973930 17469585 20963502 22460895 31445253 34939170 44921790 52408755 62890506 104817510 157226265 314452530