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774013240 = 2357111321487
BaseRepresentation
bin101110001000101…
…000000100111000
31222221102221120001
4232020220010320
53041121410430
6204445442344
725116001240
oct5610500470
91887387501
10774013240
11367a01670
121972703b4
13c4484800
1474b22b20
1547e423ca
hex2e228138

774013240 has 192 divisors, whose sum is σ = 2352706560. Its totient is φ = 222543360.

The previous prime is 774013237. The next prime is 774013243. The reversal of 774013240 is 42310477.

It is an interprime number because it is at equal distance from previous prime (774013237) and next prime (774013243).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 774013199 and 774013208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (774013243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519777 + ... + 521263.

It is an arithmetic number, because the mean of its divisors is an integer number (12253680).

Almost surely, 2774013240 is an apocalyptic number.

774013240 is a gapful number since it is divisible by the number (70) 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 774013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176353280).

774013240 is an abundant number, since it is smaller than the sum of its proper divisors (1578693320).

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

774013240 is a wasteful number, since it uses less digits than its factorization.

774013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 774013240 is about 27821.0934364557. The cubic root of 774013240 is about 918.1552669689.

774013240 divided by its sum of digits (28) gives a triangular number (27643330 = T7435).

The spelling of 774013240 in words is "seven hundred seventy-four million, thirteen thousand, two hundred forty".