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381298920 = 233517318367
BaseRepresentation
bin10110101110100…
…010100011101000
3222120110222210020
4112232202203220
51240103031140
6101500320440
712306662442
oct2656424350
9876428706
10381298920
11186262582
12a7843120
1360cc4482
14388d7492
152371c6d0
hex16ba28e8

381298920 has 64 divisors (see below), whose sum is σ = 1150571520. Its totient is φ = 101086464.

The previous prime is 381298919. The next prime is 381298979. The reversal of 381298920 is 29892183.

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, 11577 + ... + 29943.

It is an arithmetic number, because the mean of its divisors is an integer number (17977680).

Almost surely, 2381298920 is an apocalyptic number.

381298920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381298920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575285760).

381298920 is an abundant number, since it is smaller than the sum of its proper divisors (769272600).

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

381298920 is a wasteful number, since it uses less digits than its factorization.

381298920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18554 (or 18550 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 381298920 is about 19526.8768624171. The cubic root of 381298920 is about 725.1399935766.

The spelling of 381298920 in words is "three hundred eighty-one million, two hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 10380 18367 20760 36734 55101 73468 91835 110202 146936 183670 220404 275505 367340 440808 551010 734680 1102020 2204040 3177491 6354982 9532473 12709964 15887455 19064946 25419928 31774910 38129892 47662365 63549820 76259784 95324730 127099640 190649460 381298920