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1714968320 = 28513234481
BaseRepresentation
bin110011000111000…
…0101011100000000
311102112000102021012
41212032011130000
512003012441240
6442101420052
760332663432
oct14616053400
94375012235
101714968320
1180006709a
123ba40a628
132143ba670
14123aa0652
15a085db65
hex66385700

1714968320 has 144 divisors (see below), whose sum is σ = 4617248832. Its totient is φ = 605552640.

The previous prime is 1714968301. The next prime is 1714968337. The reversal of 1714968320 is 238694171.

It is a super-2 number, since 2×17149683202 = 5882232677207244800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380480 + ... + 384960.

It is an arithmetic number, because the mean of its divisors is an integer number (32064228).

Almost surely, 21714968320 is an apocalyptic number.

1714968320 is a gapful number since it is divisible by the number (10) 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 1714968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308624416).

1714968320 is an abundant number, since it is smaller than the sum of its proper divisors (2902280512).

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

1714968320 is a wasteful number, since it uses less digits than its factorization.

1714968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1714968320 is about 41412.1759872625. The cubic root of 1714968320 is about 1196.9757922830.

The spelling of 1714968320 in words is "one billion, seven hundred fourteen million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 256 260 299 320 368 416 460 520 598 640 736 832 920 1040 1196 1280 1472 1495 1664 1840 2080 2392 2944 2990 3328 3680 4160 4481 4784 5888 5980 7360 8320 8962 9568 11960 14720 16640 17924 19136 22405 23920 29440 35848 38272 44810 47840 58253 71696 76544 89620 95680 103063 116506 143392 179240 191360 206126 233012 286784 291265 358480 382720 412252 466024 515315 573568 582530 716960 824504 932048 1030630 1147136 1165060 1339819 1433920 1649008 1864096 2061260 2330120 2679638 2867840 3298016 3728192 4122520 4660240 5359276 5735680 6596032 6699095 7456384 8245040 9320480 10718552 13192064 13398190 14912768 16490080 18640960 21437104 26384128 26796380 32980160 37281920 42874208 53592760 65960320 74563840 85748416 107185520 131920640 171496832 214371040 342993664 428742080 857484160 1714968320