Search a number
-
+
377988390 = 233513113953
BaseRepresentation
bin10110100001111…
…010010100100110
3222100020210121000
4112201322110212
51233231112030
6101301334130
712236563653
oct2641722446
9870223530
10377988390
111844012aa
12a6707346
1360405690
14382b4c2a
15232b6860
hex1687a526

377988390 has 128 divisors (see below), whose sum is σ = 1096260480. Its totient is φ = 92123136.

The previous prime is 377988367. The next prime is 377988409. The reversal of 377988390 is 93889773.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396154 + ... + 397106.

It is an arithmetic number, because the mean of its divisors is an integer number (8564535).

Almost surely, 2377988390 is an apocalyptic number.

377988390 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 377988390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548130240).

377988390 is an abundant number, since it is smaller than the sum of its proper divisors (718272090).

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

377988390 is a wasteful number, since it uses less digits than its factorization.

377988390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 377988390 is about 19441.9235159487. The cubic root of 377988390 is about 723.0352765970.

The spelling of 377988390 in words is "three hundred seventy-seven million, nine hundred eighty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 113 117 130 135 195 226 234 270 339 351 390 565 585 678 702 953 1017 1130 1170 1469 1695 1755 1906 2034 2859 2938 3051 3390 3510 4407 4765 5085 5718 6102 7345 8577 8814 9530 10170 12389 13221 14295 14690 15255 17154 22035 24778 25731 26442 28590 30510 37167 39663 42885 44070 51462 61945 66105 74334 79326 85770 107689 111501 123890 128655 132210 185835 198315 215378 223002 257310 323067 334503 371670 396630 538445 557505 646134 669006 969201 1076890 1115010 1399957 1615335 1672515 1938402 2799914 2907603 3230670 3345030 4199871 4846005 5815206 6999785 8399742 9692010 12599613 13999570 14538015 20999355 25199226 29076030 37798839 41998710 62998065 75597678 125996130 188994195 377988390