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378776352 = 25331127277
BaseRepresentation
bin10110100100111…
…010101100100000
3222101201211110210
4112210322230200
51233431320402
6101330254120
712246355143
oct2644725440
9871654423
10378776352
1118489a309
12a6a27340
1360620226
143843c05a
15233c006c
hex1693ab20

378776352 has 48 divisors (see below), whose sum is σ = 1026369792. Its totient is φ = 122184960.

The previous prime is 378776329. The next prime is 378776353. The reversal of 378776352 is 253677873.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (378776353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60663 + ... + 66614.

It is an arithmetic number, because the mean of its divisors is an integer number (21382704).

Almost surely, 2378776352 is an apocalyptic number.

378776352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

378776352 is an abundant number, since it is smaller than the sum of its proper divisors (647593440).

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

378776352 is a wasteful number, since it uses less digits than its factorization.

378776352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127321 (or 127313 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 48.

The square root of 378776352 is about 19462.1774732428. The cubic root of 378776352 is about 723.5373457163.

The spelling of 378776352 in words is "three hundred seventy-eight million, seven hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 127277 254554 381831 509108 763662 1018216 1527324 2036432 3054648 3945587 4072864 6109296 7891174 11836761 12218592 15782348 23673522 31564696 47347044 63129392 94694088 126258784 189388176 378776352