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383390552340 = 2232537261721997
BaseRepresentation
bin1011001010000111101…
…10111001000100010100
31100122121010222000011200
411211003312321010110
522240140440133330
6452043250032500
736461526632235
oct5450366710424
91318533860150
10383390552340
1113865aa76554
1262378878730
132a1cc52c1c3
14147b030908c
159e8d66aa60
hex5943db9114

383390552340 has 144 divisors (see below), whose sum is σ = 1194893171472. Its totient is φ = 99431774208.

The previous prime is 383390552339. The next prime is 383390552357. The reversal of 383390552340 is 43255093383.

383390552340 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 90 + 552 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104188219524 + 279202332816 = 322782^2 + 528396^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418222 + ... + 17440218.

Almost surely, 2383390552340 is an apocalyptic number.

383390552340 is a gapful number since it is divisible by the number (30) 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 383390552340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597446585736).

383390552340 is an abundant number, since it is smaller than the sum of its proper divisors (811502619132).

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

383390552340 is a wasteful number, since it uses less digits than its factorization.

383390552340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24666 (or 24661 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 383390552340 in words is "three hundred eighty-three billion, three hundred ninety million, five hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2617 3330 5234 6660 7851 10468 13085 15702 21997 23553 26170 31404 39255 43994 47106 52340 65991 78510 87988 94212 96829 109985 117765 131982 157020 193658 197973 219970 235530 263964 290487 329955 387316 395946 439940 471060 484145 580974 659910 791892 813889 871461 968290 989865 1161948 1319820 1452435 1627778 1742922 1936580 1979730 2441667 2904870 3255556 3485844 3959460 4069445 4357305 4883334 5809740 7325001 8138890 8714610 9766668 12208335 14650002 16277780 17429220 24416670 29300004 36625005 48833340 57566149 73250010 115132298 146500020 172698447 230264596 287830745 345396894 518095341 575661490 690793788 863492235 1036190682 1151322980 1726984470 2072381364 2129947513 2590476705 3453968940 4259895026 5180953410 6389842539 8519790052 10361906820 10649737565 12779685078 19169527617 21299475130 25559370156 31949212695 38339055234 42598950260 63898425390 76678110468 95847638085 127796850780 191695276170 383390552340