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672298320 = 243517414019
BaseRepresentation
bin101000000100100…
…111010101010000
31201212001021220210
4220010213111100
52334102021240
6150413404120
722442304261
oct5004472520
91655037823
10672298320
11315549751
12169199640
13a9390575
1465406968
153e04e780
hex28127550

672298320 has 160 divisors (see below), whose sum is σ = 2261105280. Its totient is φ = 164577280.

The previous prime is 672298283. The next prime is 672298321. The reversal of 672298320 is 23892276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672298321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165271 + ... + 169289.

It is an arithmetic number, because the mean of its divisors is an integer number (14131908).

Almost surely, 2672298320 is an apocalyptic number.

672298320 is a gapful number since it is divisible by the number (60) 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 672298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130552640).

672298320 is an abundant number, since it is smaller than the sum of its proper divisors (1588806960).

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

672298320 is a wasteful number, since it uses less digits than its factorization.

672298320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 672298320 is about 25928.7161271051. The cubic root of 672298320 is about 876.0334217144.

The spelling of 672298320 in words is "six hundred seventy-two million, two hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 41 48 51 60 68 80 82 85 102 120 123 136 164 170 204 205 240 246 255 272 328 340 408 410 492 510 615 656 680 697 816 820 984 1020 1230 1360 1394 1640 1968 2040 2091 2460 2788 3280 3485 4019 4080 4182 4920 5576 6970 8038 8364 9840 10455 11152 12057 13940 16076 16728 20095 20910 24114 27880 32152 33456 40190 41820 48228 55760 60285 64304 68323 80380 83640 96456 120570 136646 160760 164779 167280 192912 204969 241140 273292 321520 329558 341615 409938 482280 494337 546584 659116 683230 819876 823895 964560 988674 1024845 1093168 1318232 1366460 1639752 1647790 1977348 2049690 2471685 2636464 2732920 2801243 3279504 3295580 3954696 4099380 4943370 5465840 5602486 6591160 7909392 8198760 8403729 9886740 11204972 13182320 14006215 16397520 16807458 19773480 22409944 28012430 33614916 39546960 42018645 44819888 56024860 67229832 84037290 112049720 134459664 168074580 224099440 336149160 672298320