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379923456 = 21031111243
BaseRepresentation
bin10110101001010…
…010110000000000
3222110220010000010
4112221102300000
51234230022311
6101411024520
712262203363
oct2651226000
9873803003
10379923456
11185503130
12a729b140
13609323a3
143865a0da
1523549da6
hex16a52c00

379923456 has 88 divisors (see below), whose sum is σ = 1104790464. Its totient is φ = 115118080.

The previous prime is 379923377. The next prime is 379923473. The reversal of 379923456 is 654329973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28171 + ... + 39413.

Almost surely, 2379923456 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 379923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552395232).

379923456 is an abundant number, since it is smaller than the sum of its proper divisors (724867008).

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

379923456 is a wasteful number, since it uses less digits than its factorization.

379923456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277 (or 11259 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 48.

The square root of 379923456 is about 19491.6252785652. The cubic root of 379923456 is about 724.2670077304.

The spelling of 379923456 in words is "three hundred seventy-nine million, nine hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11243 11264 16896 22486 33729 33792 44972 67458 89944 123673 134916 179888 247346 269832 359776 371019 494692 539664 719552 742038 989384 1079328 1439104 1484076 1978768 2158656 2878208 2968152 3957536 4317312 5756416 5936304 7915072 8634624 11512832 11872608 15830144 17269248 23745216 31660288 34538496 47490432 63320576 94980864 126641152 189961728 379923456