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361674990 = 23358316139
BaseRepresentation
bin10101100011101…
…011100011101110
3221012112222211000
4111203223203232
51220042044430
655515541130
711651121015
oct2543534356
9835488730
10361674990
11176179856
12a115a7a6
1359c13291
1436069a7c
1521b42e60
hex158eb8ee

361674990 has 64 divisors (see below), whose sum is σ = 976147200. Its totient is φ = 95278752.

The previous prime is 361674967. The next prime is 361675007. The reversal of 361674990 is 99476163.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14341 + ... + 30479.

It is an arithmetic number, because the mean of its divisors is an integer number (15252300).

Almost surely, 2361674990 is an apocalyptic number.

361674990 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 361674990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488073600).

361674990 is an abundant number, since it is smaller than the sum of its proper divisors (614472210).

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

361674990 is a wasteful number, since it uses less digits than its factorization.

361674990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16238 (or 16232 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 361674990 is about 19017.7545993211. The cubic root of 361674990 is about 712.4802432195.

It can be divided in two parts, 3616 and 74990, that added together give a triangular number (78606 = T396).

The spelling of 361674990 in words is "three hundred sixty-one million, six hundred seventy-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 7470 11205 16139 22410 32278 48417 80695 96834 145251 161390 242085 290502 435753 484170 726255 871506 1339537 1452510 2178765 2679074 4018611 4357530 6697685 8037222 12055833 13395370 20093055 24111666 36167499 40186110 60279165 72334998 120558330 180837495 361674990