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3394362996 = 223519183797
BaseRepresentation
bin1100101001010001…
…1101111001110100
322202120002111200000
43022110131321310
523422424103441
61320452551300
7150054416013
oct31224357164
98676074600
103394362996
111492036182
127a8922530
1342130111b
14242b40a7a
1514cee22b6
hexca51de74

3394362996 has 72 divisors (see below), whose sum is σ = 9366346080. Its totient is φ = 1071898272.

The previous prime is 3394362991. The next prime is 3394362997. The reversal of 3394362996 is 6992634933.

It is a happy number.

3394362996 is a `hidden beast` number, since 3 + 3 + 9 + 4 + 3 + 629 + 9 + 6 = 666.

It is a super-2 number, since 2×33943629962 = 23043400297228192032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394362991) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73431 + ... + 110366.

It is an arithmetic number, because the mean of its divisors is an integer number (130088140).

Almost surely, 23394362996 is an apocalyptic number.

3394362996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3394362996 is an abundant number, since it is smaller than the sum of its proper divisors (5971983084).

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

3394362996 is a wasteful number, since it uses less digits than its factorization.

3394362996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183835 (or 183821 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 54.

The square root of 3394362996 is about 58261.1619863525. The cubic root of 3394362996 is about 1502.8631235386.

The spelling of 3394362996 in words is "three billion, three hundred ninety-four million, three hundred sixty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 18468 183797 367594 551391 735188 1102782 1654173 2205564 3308346 3492143 4962519 6616692 6984286 9925038 10476429 13968572 14887557 19850076 20952858 29775114 31429287 41905716 44662671 59550228 62858574 89325342 94287861 125717148 178650684 188575722 282863583 377151444 565727166 848590749 1131454332 1697181498 3394362996