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376632816 = 24372792027
BaseRepresentation
bin10110011100101…
…111010111110000
3222020200221002120
4112130233113300
51232404222231
6101212314240
712222216600
oct2634572760
9866627076
10376632816
1118366589a
12a6172980
136004c671
1438040c00
15230e9d96
hex1672f5f0

376632816 has 120 divisors (see below), whose sum is σ = 1146712320. Its totient is φ = 106194816.

The previous prime is 376632811. The next prime is 376632821. The reversal of 376632816 is 618236673.

It is an interprime number because it is at equal distance from previous prime (376632811) and next prime (376632821).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376632811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 184795 + ... + 186821.

It is an arithmetic number, because the mean of its divisors is an integer number (9555936).

Almost surely, 2376632816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376632816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573356160).

376632816 is an abundant number, since it is smaller than the sum of its proper divisors (770079504).

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

376632816 is a wasteful number, since it uses less digits than its factorization.

376632816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2118 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 376632816 is about 19407.0300664476. The cubic root of 376632816 is about 722.1699044846.

The spelling of 376632816 in words is "three hundred seventy-six million, six hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 392 474 553 588 632 784 948 1106 1176 1264 1659 1896 2027 2212 2352 3318 3792 3871 4054 4424 6081 6636 7742 8108 8848 11613 12162 13272 14189 15484 16216 23226 24324 26544 28378 30968 32432 42567 46452 48648 56756 61936 85134 92904 97296 99323 113512 160133 170268 185808 198646 227024 297969 320266 340536 397292 480399 595938 640532 681072 794584 960798 1120931 1191876 1281064 1589168 1921596 2241862 2383752 2562128 3362793 3843192 4483724 4767504 6725586 7686384 7846517 8967448 13451172 15693034 17934896 23539551 26902344 31386068 47079102 53804688 62772136 94158204 125544272 188316408 376632816