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378345032 = 23132234
BaseRepresentation
bin10110100011010…
…001011001001000
3222100220220210222
4112203101121020
51233324020112
6101313125212
712242610512
oct2643213110
9870826728
10378345032
1118462524a
12a6859808
13604cbb00
1438368bb2
1523337372
hex168d1648

378345032 has 60 divisors (see below), whose sum is σ = 803079945. Its totient is φ = 167028576.

The previous prime is 378345029. The next prime is 378345053. The reversal of 378345032 is 230543873.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 323496196 + 54848836 = 17986^2 + 7406^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13754.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 378344983 and 378345001.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16449773 + ... + 16449795.

Almost surely, 2378345032 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 378345032

378345032 is an abundant number, since it is smaller than the sum of its proper divisors (424734913).

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

378345032 is an frugal number, since it uses more digits than its factorization.

378345032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 378345032 is about 19451.0933368795. The cubic root of 378345032 is about 723.2626060562.

The spelling of 378345032 in words is "three hundred seventy-eight million, three hundred forty-five thousand, thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 169 184 299 338 529 598 676 1058 1196 1352 2116 2392 3887 4232 6877 7774 12167 13754 15548 24334 27508 31096 48668 55016 89401 97336 158171 178802 279841 316342 357604 559682 632684 715208 1119364 1265368 2056223 2238728 3637933 4112446 7275866 8224892 14551732 16449784 29103464 47293129 94586258 189172516 378345032