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378045248 = 26731163167
BaseRepresentation
bin10110100010001…
…000001101000000
3222100100200120212
4112202020031000
51233234421443
6101302453252
712240221510
oct2642101500
9870320525
10378045248
1118443aa99
12a6734228
1360425519
14382cb840
15232c8618
hex16888340

378045248 has 112 divisors (see below), whose sum is σ = 895770624. Its totient is φ = 154897920.

The previous prime is 378045233. The next prime is 378045253. The reversal of 378045248 is 842540873.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263661 + ... + 2263827.

It is an arithmetic number, because the mean of its divisors is an integer number (7997952).

Almost surely, 2378045248 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 378045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447885312).

378045248 is an abundant number, since it is smaller than the sum of its proper divisors (517725376).

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

378045248 is a wasteful number, since it uses less digits than its factorization.

378045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 378045248 is about 19443.3857133988. The cubic root of 378045248 is about 723.0715283970.

The spelling of 378045248 in words is "three hundred seventy-eight million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 163 167 217 224 248 326 334 434 448 496 652 668 868 992 1141 1169 1304 1336 1736 1984 2282 2338 2608 2672 3472 4564 4676 5053 5177 5216 5344 6944 9128 9352 10106 10354 10432 10688 13888 18256 18704 20212 20708 27221 35371 36239 36512 37408 40424 41416 54442 70742 72478 73024 74816 80848 82832 108884 141484 144956 161696 165664 190547 217768 282968 289912 323392 331328 381094 435536 565936 579824 762188 843851 871072 1131872 1159648 1524376 1687702 1742144 2263744 2319296 3048752 3375404 5906957 6097504 6750808 11813914 12195008 13501616 23627828 27003232 47255656 54006464 94511312 189022624 378045248