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378954048 = 26311179429
BaseRepresentation
bin10110100101100…
…110000101000000
3222102001212020010
4112211212011000
51234003012143
6101334144520
712251025204
oct2645460500
9872055203
10378954048
11184a00870
12a6ab2140
1360683085
1438486b04
1523407a33
hex16966140

378954048 has 56 divisors (see below), whose sum is σ = 1093805280. Its totient is φ = 114833920.

The previous prime is 378954029. The next prime is 378954053. The reversal of 378954048 is 840459873.

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

It is a junction number, because it is equal to n+sod(n) for n = 378953988 and 378954006.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 87603 + ... + 91826.

Almost surely, 2378954048 is an apocalyptic number.

It is an amenable number.

378954048 is an abundant number, since it is smaller than the sum of its proper divisors (714851232).

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

378954048 is a wasteful number, since it uses less digits than its factorization.

378954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179455 (or 179445 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 378954048 is about 19466.7421003105. The cubic root of 378954048 is about 723.6504727999.

The spelling of 378954048 in words is "three hundred seventy-eight million, nine hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 179429 358858 538287 717716 1076574 1435432 1973719 2153148 2870864 3947438 4306296 5741728 5921157 7894876 8612592 11483456 11842314 15789752 17225184 23684628 31579504 34450368 47369256 63159008 94738512 126318016 189477024 378954048