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378146920 = 23519014973
BaseRepresentation
bin10110100010100…
…001000001101000
3222100112212001111
4112202201001220
51233301200140
6101305000104
712241124104
oct2642410150
9870485044
10378146920
111844aa418
12a6783034
136045c898
1438316904
15232e87ea
hex168a1068

378146920 has 32 divisors (see below), whose sum is σ = 851449320. Its totient is φ = 151148800.

The previous prime is 378146917. The next prime is 378146927. The reversal of 378146920 is 29641873.

It can be written as a sum of positive squares in 4 ways, for example, as 245298244 + 132848676 = 15662^2 + 11526^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (378146927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73554 + ... + 78526.

Almost surely, 2378146920 is an apocalyptic number.

It is an amenable number.

378146920 is an abundant number, since it is smaller than the sum of its proper divisors (473302400).

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

378146920 is a wasteful number, since it uses less digits than its factorization.

378146920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 378146920 is about 19446.0001028489. Note that the first 3 decimals coincide. The cubic root of 378146920 is about 723.1363438649.

The spelling of 378146920 in words is "three hundred seventy-eight million, one hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1901 3802 4973 7604 9505 9946 15208 19010 19892 24865 38020 39784 49730 76040 99460 198920 9453673 18907346 37814692 47268365 75629384 94536730 189073460 378146920