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1398243440 = 2451119241347
BaseRepresentation
bin101001101010111…
…1000000001110000
310121110001010102002
41103111320001300
510330422242230
6350425113132
746435605326
oct12325700160
93543033362
101398243440
116582a9aa0
123303287a8
131938b50a9
14d39b5d16
1582b49545
hex53578070

1398243440 has 160 divisors (see below), whose sum is σ = 3759402240. Its totient is φ = 478310400.

The previous prime is 1398243401. The next prime is 1398243461. The reversal of 1398243440 is 443428931.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1398243394 and 1398243403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029347 + ... + 4029693.

It is an arithmetic number, because the mean of its divisors is an integer number (23496264).

Almost surely, 21398243440 is an apocalyptic number.

1398243440 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 1398243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879701120).

1398243440 is an abundant number, since it is smaller than the sum of its proper divisors (2361158800).

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

1398243440 is a wasteful number, since it uses less digits than its factorization.

1398243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 1398243440 is about 37393.0934799463. The cubic root of 1398243440 is about 1118.2208785911.

The spelling of 1398243440 in words is "one billion, three hundred ninety-eight million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 241 304 347 380 418 440 482 694 760 836 880 964 1045 1205 1388 1520 1672 1735 1928 2090 2410 2651 2776 3344 3470 3817 3856 4180 4579 4820 5302 5552 6593 6940 7634 8360 9158 9640 10604 13186 13255 13880 15268 16720 18316 19085 19280 21208 22895 26372 26510 27760 30536 32965 36632 38170 42416 45790 50369 52744 53020 61072 65930 72523 73264 76340 83627 91580 100738 105488 106040 131860 145046 152680 167254 183160 201476 212080 251845 263720 290092 305360 334508 362615 366320 402952 418135 503690 527440 580184 669016 725230 805904 836270 919897 1007380 1160368 1338032 1450460 1588913 1672540 1839794 2014760 2900920 3177826 3345080 3679588 4029520 4599485 5801840 6355652 6690160 7359176 7944565 9198970 12711304 14718352 15889130 17478043 18397940 25422608 31778260 34956086 36795880 63556520 69912172 73591760 87390215 127113040 139824344 174780430 279648688 349560860 699121720 1398243440