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376464 = 243112331
BaseRepresentation
bin1011011111010010000
3201010102010
41123322100
544021324
612022520
73125364
oct1337220
9633363
10376464
11237930
12161a40
1310247a
149b2a4
1576829
hex5be90

376464 has 80 divisors (see below), whose sum is σ = 1142784. Its totient is φ = 105600.

The previous prime is 376463. The next prime is 376469. The reversal of 376464 is 464673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12129 + ... + 12159.

2376464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571392).

376464 is an abundant number, since it is smaller than the sum of its proper divisors (766320).

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

376464 is a wasteful number, since it uses less digits than its factorization.

376464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 376464 is about 613.5666222995. The cubic root of 376464 is about 72.2061990314.

Subtracting 376464 from its reverse (464673), we obtain a square (88209 = 2972).

It can be divided in two parts, 3764 and 64, that added together give a triangular number (3828 = T87).

The spelling of 376464 in words is "three hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 31 33 44 46 48 62 66 69 88 92 93 124 132 138 176 184 186 248 253 264 276 341 368 372 496 506 528 552 682 713 744 759 1012 1023 1104 1364 1426 1488 1518 2024 2046 2139 2728 2852 3036 4048 4092 4278 5456 5704 6072 7843 8184 8556 11408 12144 15686 16368 17112 23529 31372 34224 47058 62744 94116 125488 188232 376464