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3374140668 = 223711372211
BaseRepresentation
bin1100100100011101…
…0100110011111100
322201011001002211220
43021013110303330
523402240000133
61314451313340
7146420502543
oct31107246374
98634032756
103374140668
111481683908
127a1bab850
1341a070752
1424019915a
1514b34a5b3
hexc91d4cfc

3374140668 has 72 divisors (see below), whose sum is σ = 8080700544. Its totient is φ = 1095561600.

The previous prime is 3374140663. The next prime is 3374140673. The reversal of 3374140668 is 8660414733.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3374140663) and next prime (3374140673).

It is a super-2 number, since 2×33741406682 = 22769650494902972448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374140663) 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, 15991083 + ... + 15991293.

It is an arithmetic number, because the mean of its divisors is an integer number (112231952).

Almost surely, 23374140668 is an apocalyptic number.

It is an amenable number.

3374140668 is an abundant number, since it is smaller than the sum of its proper divisors (4706559876).

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

3374140668 is a wasteful number, since it uses less digits than its factorization.

3374140668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3374140668 is about 58087.3537699902. The cubic root of 3374140668 is about 1499.8726807491.

The spelling of 3374140668 in words is "three billion, three hundred seventy-four million, one hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 71 137 142 211 213 274 284 411 422 426 548 633 822 844 852 1266 1644 2532 9727 14981 18769 19454 28907 29181 29962 37538 38908 44943 56307 57814 58362 59924 75076 86721 89886 112614 115628 116724 173442 179772 225228 346884 1332599 2052397 2665198 3960259 3997797 4104794 5330396 6157191 7920518 7995594 8209588 11880777 12314382 15841036 15991188 23761554 24628764 47523108 281178389 562356778 843535167 1124713556 1687070334 3374140668