Search a number
-
+
374401530 = 232547611451
BaseRepresentation
bin10110010100001…
…110100111111010
3222002111120100100
4112110032213322
51231321322110
6101052420230
712164234436
oct2624164772
9862446310
10374401530
11182381458
12a5477676
135c74ab89
1437a1d9c6
1522d08bc0
hex1650e9fa

374401530 has 96 divisors (see below), whose sum is σ = 1011149568. Its totient is φ = 96048000.

The previous prime is 374401507. The next prime is 374401603. The reversal of 374401530 is 35104473.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 374401494 and 374401503.

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, 257305 + ... + 258755.

It is an arithmetic number, because the mean of its divisors is an integer number (10532808).

Almost surely, 2374401530 is an apocalyptic number.

374401530 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 374401530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505574784).

374401530 is an abundant number, since it is smaller than the sum of its proper divisors (636748038).

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

374401530 is a wasteful number, since it uses less digits than its factorization.

374401530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 374401530 is about 19349.4581319478. The cubic root of 374401530 is about 720.7409617417.

The spelling of 374401530 in words is "three hundred seventy-four million, four hundred one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 61 90 94 122 141 183 235 282 305 366 423 470 549 610 705 846 915 1098 1410 1451 1830 2115 2745 2867 2902 4230 4353 5490 5734 7255 8601 8706 13059 14335 14510 17202 21765 25803 26118 28670 43005 43530 51606 65295 68197 86010 88511 129015 130590 136394 177022 204591 258030 265533 340985 409182 442555 531066 613773 681970 796599 885110 1022955 1227546 1327665 1593198 2045910 2655330 3068865 3982995 4160017 6137730 7965990 8320034 12480051 20800085 24960102 37440153 41600170 62400255 74880306 124800510 187200765 374401530