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381523350 = 235213172677
BaseRepresentation
bin10110101111011…
…001010110010110
3222120220101122110
4112233121112112
51240132221400
6101505211450
712311615655
oct2657312626
9876811573
10381523350
111863a615a
12a7930b86
1361072680
143895519c
1523763e50
hex16bd9596

381523350 has 144 divisors (see below), whose sum is σ = 1084024368. Its totient is φ = 88258560.

The previous prime is 381523349. The next prime is 381523381. The reversal of 381523350 is 53325183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 563212 + ... + 563888.

It is an arithmetic number, because the mean of its divisors is an integer number (7527947).

Almost surely, 2381523350 is an apocalyptic number.

381523350 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 381523350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542012184).

381523350 is an abundant number, since it is smaller than the sum of its proper divisors (702501018).

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

381523350 is a wasteful number, since it uses less digits than its factorization.

381523350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 381523350 is about 19532.6227117610. The cubic root of 381523350 is about 725.2822365264.

The spelling of 381523350 in words is "three hundred eighty-one million, five hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 85 102 130 150 170 195 221 255 289 325 390 425 442 510 578 650 663 677 850 867 975 1105 1275 1326 1354 1445 1734 1950 2031 2210 2550 2890 3315 3385 3757 4062 4335 5525 6630 6770 7225 7514 8670 8801 10155 11050 11271 11509 14450 16575 16925 17602 18785 20310 21675 22542 23018 26403 33150 33850 34527 37570 43350 44005 50775 52806 56355 57545 69054 88010 93925 101550 112710 115090 132015 149617 172635 187850 195653 220025 264030 281775 287725 299234 345270 391306 440050 448851 563550 575450 586959 660075 748085 863175 897702 978265 1173918 1320150 1496170 1726350 1956530 2244255 2543489 2934795 3740425 4488510 4891325 5086978 5869590 7480850 7630467 9782650 11221275 12717445 14673975 15260934 22442550 25434890 29347950 38152335 63587225 76304670 127174450 190761675 381523350