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374533380 = 2232513236959
BaseRepresentation
bin10110010100101…
…110110100000100
3222002202021012200
4112110232310010
51231340032010
6101055314500
712165324024
oct2624566404
9862667180
10374533380
11182461521
12a551ba30
135c795bb0
1437a55a84
1522d32cc0
hex1652ed04

374533380 has 144 divisors (see below), whose sum is σ = 1276853760. Its totient is φ = 88171776.

The previous prime is 374533361. The next prime is 374533381. The reversal of 374533380 is 83335473.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (374533381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50341 + ... + 57299.

It is an arithmetic number, because the mean of its divisors is an integer number (8867040).

Almost surely, 2374533380 is an apocalyptic number.

374533380 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 374533380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638426880).

374533380 is an abundant number, since it is smaller than the sum of its proper divisors (902320380).

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

374533380 is a wasteful number, since it uses less digits than its factorization.

374533380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 374533380 is about 19352.8649041944. The cubic root of 374533380 is about 720.8255576769.

The spelling of 374533380 in words is "three hundred seventy-four million, five hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 6959 8970 10764 13455 13918 17940 20877 26910 27836 34795 41754 53820 62631 69590 83508 90467 104385 125262 139180 160057 180934 208770 250524 271401 313155 320114 361868 417540 452335 480171 542802 626310 640228 800285 814203 904670 960342 1085604 1252620 1357005 1440513 1600570 1628406 1809340 1920684 2080741 2400855 2714010 2881026 3201140 3256812 4071015 4161482 4801710 5428020 5762052 6242223 7202565 8142030 8322964 9603420 10403705 12484446 14405130 16284060 18726669 20807410 24968892 28810260 31211115 37453338 41614820 62422230 74906676 93633345 124844460 187266690 374533380