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376240356 = 2233191811013
BaseRepresentation
bin10110011011001…
…111100011100100
3222012221222202000
4112123033203210
51232304142411
6101200045300
712215663442
oct2633174344
9865858660
10376240356
11183417a48
12a6003830
135cc42b3b
1437d7bb92
152306d956
hex166cf8e4

376240356 has 96 divisors (see below), whose sum is σ = 1033468800. Its totient is φ = 118039680.

The previous prime is 376240307. The next prime is 376240373. The reversal of 376240356 is 653042673.

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

It is a self number, because there is not a number n which added to its sum of digits gives 376240356.

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, 370906 + ... + 371918.

It is an arithmetic number, because the mean of its divisors is an integer number (10765300).

Almost surely, 2376240356 is an apocalyptic number.

376240356 is a gapful number since it is divisible by the number (36) 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 376240356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516734400).

376240356 is an abundant number, since it is smaller than the sum of its proper divisors (657228444).

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

376240356 is a wasteful number, since it uses less digits than its factorization.

376240356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1218 counting only the distinct ones).

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

The square root of 376240356 is about 19396.9161466456. The cubic root of 376240356 is about 721.9189781269.

The spelling of 376240356 in words is "three hundred seventy-six million, two hundred forty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 181 228 342 362 513 543 684 724 1013 1026 1086 1629 2026 2052 2172 3039 3258 3439 4052 4887 6078 6516 6878 9117 9774 10317 12156 13756 18234 19247 19548 20634 27351 30951 36468 38494 41268 54702 57741 61902 76988 92853 109404 115482 123804 173223 183353 185706 230964 346446 366706 371412 519669 550059 692892 733412 1039338 1100118 1650177 2078676 2200236 3300354 3483707 4950531 6600708 6967414 9901062 10451121 13934828 19802124 20902242 31353363 41804484 62706726 94060089 125413452 188120178 376240356