Search a number
-
+
374386488 = 233719532213
BaseRepresentation
bin10110010100001…
…010111100111000
3222002110210201020
4112110022330320
51231320331423
6101052222440
712164142540
oct2624127470
9862423636
10374386488
11182371123
12a546aa20
135c744088
1437a18320
1522d044e3
hex1650af38

374386488 has 128 divisors (see below), whose sum is σ = 1147737600. Its totient is φ = 99380736.

The previous prime is 374386417. The next prime is 374386547. The reversal of 374386488 is 884683473.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 374386488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168070 + ... + 170282.

It is an arithmetic number, because the mean of its divisors is an integer number (8966700).

Almost surely, 2374386488 is an apocalyptic number.

374386488 is a gapful number since it is divisible by the number (38) 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 374386488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573868800).

374386488 is an abundant number, since it is smaller than the sum of its proper divisors (773351112).

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

374386488 is a wasteful number, since it uses less digits than its factorization.

374386488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2297 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 374386488 is about 19349.0694349883. The cubic root of 374386488 is about 720.7313094212.

The spelling of 374386488 in words is "three hundred seventy-four million, three hundred eighty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 84 106 114 133 152 159 168 212 228 266 318 371 399 424 456 532 636 742 798 1007 1064 1113 1272 1484 1596 2014 2213 2226 2968 3021 3192 4028 4426 4452 6042 6639 7049 8056 8852 8904 12084 13278 14098 15491 17704 21147 24168 26556 28196 30982 42047 42294 46473 53112 56392 61964 84094 84588 92946 117289 123928 126141 168188 169176 185892 234578 252282 294329 336376 351867 371784 469156 504564 588658 703734 821023 882987 938312 1009128 1177316 1407468 1642046 1765974 2228491 2354632 2463069 2814936 3284092 3531948 4456982 4926138 6568184 6685473 7063896 8913964 9852276 13370946 15599437 17827928 19704552 26741892 31198874 46798311 53483784 62397748 93596622 124795496 187193244 374386488