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3774136350 = 235271389911
BaseRepresentation
bin1110000011110100…
…1100000000011110
3100202000200222202210
43200331030000132
530212134330400
61422300501250
7162345425655
oct34075140036
910660628683
103774136350
111667446556
12893b4a826
13481bb009a
1427b35c19c
1517150c950
hexe0f4c01e

3774136350 has 96 divisors (see below), whose sum is σ = 9526533120. Its totient is φ = 988624000.

The previous prime is 3774136349. The next prime is 3774136363. The reversal of 3774136350 is 536314773.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3774136299 and 3774136308.

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, 4142395 + ... + 4143305.

It is an arithmetic number, because the mean of its divisors is an integer number (99234720).

Almost surely, 23774136350 is an apocalyptic number.

3774136350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3774136350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763266560).

3774136350 is an abundant number, since it is smaller than the sum of its proper divisors (5752396770).

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

3774136350 is a wasteful number, since it uses less digits than its factorization.

3774136350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 39.

The square root of 3774136350 is about 61433.9999511671. Note that the first 4 decimals coincide. The cubic root of 3774136350 is about 1556.9423383585.

The spelling of 3774136350 in words is "three billion, seven hundred seventy-four million, one hundred thirty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 355 389 426 710 778 911 1065 1167 1775 1822 1945 2130 2334 2733 3550 3890 4555 5325 5466 5835 9110 9725 10650 11670 13665 19450 22775 27330 27619 29175 45550 55238 58350 64681 68325 82857 129362 136650 138095 165714 194043 276190 323405 354379 388086 414285 646810 690475 708758 828570 970215 1063137 1380950 1617025 1771895 1940430 2071425 2126274 3234050 3543790 4142850 4851075 5315685 8859475 9702150 10631370 17718950 25160909 26578425 50321818 53156850 75482727 125804545 150965454 251609090 377413635 629022725 754827270 1258045450 1887068175 3774136350