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1397116350 = 23552716427
BaseRepresentation
bin101001101000110…
…0100110110111110
310121100220212100000
41103101210312332
510330130210400
6350345015130
746423202340
oct12321446676
93540825300
101397116350
116576aa213
1232ba844a6
131935ac086
14d37a1290
15829c5600
hex53464dbe

1397116350 has 144 divisors (see below), whose sum is σ = 4448965248. Its totient is φ = 319321440.

The previous prime is 1397116333. The next prime is 1397116403. The reversal of 1397116350 is 536117931.

1397116350 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 11 + 635 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76837 + ... + 93263.

It is an arithmetic number, because the mean of its divisors is an integer number (30895592).

Almost surely, 21397116350 is an apocalyptic number.

1397116350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1397116350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224482624).

1397116350 is an abundant number, since it is smaller than the sum of its proper divisors (3051848898).

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

1397116350 is a wasteful number, since it uses less digits than its factorization.

1397116350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16461 (or 16444 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1397116350 is about 37378.0196104609. The cubic root of 1397116350 is about 1117.9203409481.

The spelling of 1397116350 in words is "one billion, three hundred ninety-seven million, one hundred sixteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 810 945 1050 1134 1215 1350 1575 1701 1890 2025 2430 2835 3150 3402 4050 4725 5670 6075 8505 9450 12150 14175 16427 17010 28350 32854 42525 49281 82135 85050 98562 114989 147843 164270 229978 246405 295686 344967 410675 443529 492810 574945 689934 739215 821350 887058 1034901 1149890 1232025 1330587 1478430 1724835 2069802 2217645 2464050 2661174 2874725 3104703 3449670 3696075 3991761 4435290 5174505 5749450 6209406 6652935 7392150 7983522 8624175 9314109 10349010 11088225 13305870 15523515 17248350 18628218 19958805 22176450 25872525 27942327 31047030 33264675 39917610 46570545 51745050 55884654 66529350 77617575 93141090 99794025 139711635 155235150 199588050 232852725 279423270 465705450 698558175 1397116350