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379386990 = 23452931521
BaseRepresentation
bin10110100111001…
…111110001101110
3222102212212010000
4112213033301232
51234110340430
6101351325130
712254510343
oct2647176156
9872785100
10379386990
11185177074
12a70807a6
13607a5158
143855a7ca
1523490e60
hex169cfc6e

379386990 has 160 divisors (see below), whose sum is σ = 1091439360. Its totient is φ = 94348800.

The previous prime is 379386989. The next prime is 379387013. The reversal of 379386990 is 99683973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 727930 + ... + 728450.

It is an arithmetic number, because the mean of its divisors is an integer number (6821496).

Almost surely, 2379386990 is an apocalyptic number.

379386990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379386990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545719680).

379386990 is an abundant number, since it is smaller than the sum of its proper divisors (712052370).

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

379386990 is a wasteful number, since it uses less digits than its factorization.

379386990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 379386990 is about 19477.8589685828. The cubic root of 379386990 is about 723.9259498657.

The spelling of 379386990 in words is "three hundred seventy-nine million, three hundred eighty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 31 45 54 58 62 81 87 90 93 135 145 155 162 174 186 261 270 279 290 310 405 435 465 521 522 558 783 810 837 870 899 930 1042 1305 1395 1563 1566 1674 1798 2349 2511 2605 2610 2697 2790 3126 3915 4185 4495 4689 4698 5022 5210 5394 7815 7830 8091 8370 8990 9378 11745 12555 13485 14067 15109 15630 16151 16182 23445 23490 24273 25110 26970 28134 30218 32302 40455 42201 45327 46890 48453 48546 70335 72819 75545 80755 80910 84402 90654 96906 121365 135981 140670 145359 145638 151090 161510 211005 226635 242265 242730 271962 290718 364095 407943 422010 436077 453270 468379 484530 679905 726795 728190 815886 872154 936758 1223829 1308231 1359810 1405137 1453590 2039715 2180385 2341895 2447658 2616462 2810274 4079430 4215411 4360770 4683790 6119145 6541155 7025685 8430822 12238290 12646233 13082310 14051370 21077055 25292466 37938699 42154110 63231165 75877398 126462330 189693495 379386990