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381438450 = 23352299743
BaseRepresentation
bin10110101111000…
…100100111110010
3222120202002012000
4112233010213302
51240122012300
6101503314430
712311113311
oct2657044762
9876662160
10381438450
11186348398
12a78aba16
1361042b33
1438932278
1523748c00
hex16bc49f2

381438450 has 96 divisors (see below), whose sum is σ = 1087430400. Its totient is φ = 98199360.

The previous prime is 381438443. The next prime is 381438467. The reversal of 381438450 is 54834183.

It is a super-2 number, since 2×3814384502 = 290990582276805000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34279 + ... + 44021.

It is an arithmetic number, because the mean of its divisors is an integer number (11327400).

Almost surely, 2381438450 is an apocalyptic number.

381438450 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 381438450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543715200).

381438450 is an abundant number, since it is smaller than the sum of its proper divisors (705991950).

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

381438450 is a wasteful number, since it uses less digits than its factorization.

381438450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9793 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 381438450 is about 19530.4493035875. The cubic root of 381438450 is about 725.2284337644.

The spelling of 381438450 in words is "three hundred eighty-one million, four hundred thirty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 225 261 270 290 435 450 522 675 725 783 870 1305 1350 1450 1566 2175 2610 3915 4350 6525 7830 9743 13050 19486 19575 29229 39150 48715 58458 87687 97430 146145 175374 243575 263061 282547 292290 438435 487150 526122 565094 730725 847641 876870 1315305 1412735 1461450 1695282 2192175 2542923 2630610 2825470 4238205 4384350 5085846 6576525 7063675 7628769 8476410 12714615 13153050 14127350 15257538 21191025 25429230 38143845 42382050 63573075 76287690 127146150 190719225 381438450