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380011272 = 233531791669
BaseRepresentation
bin10110101001101…
…000001100001000
3222111001120110120
4112221220030020
51234240330042
6101412543240
712263020404
oct2651501410
9874046416
10380011272
11185563103
12a7321b20
1360963354
1438680104
1523565dec
hex16a68308

380011272 has 64 divisors (see below), whose sum is σ = 973944000. Its totient is φ = 123512064.

The previous prime is 380011243. The next prime is 380011279. The reversal of 380011272 is 272110083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (380011279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226854 + ... + 228522.

It is an arithmetic number, because the mean of its divisors is an integer number (15217875).

Almost surely, 2380011272 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 380011272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486972000).

380011272 is an abundant number, since it is smaller than the sum of its proper divisors (593932728).

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

380011272 is a wasteful number, since it uses less digits than its factorization.

380011272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 380011272 is about 19493.8778081735. The cubic root of 380011272 is about 724.3228061031.

The spelling of 380011272 in words is "three hundred eighty million, eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 179 212 318 358 424 537 636 716 1074 1272 1432 1669 2148 3338 4296 5007 6676 9487 10014 13352 18974 20028 28461 37948 40056 56922 75896 88457 113844 176914 227688 265371 298751 353828 530742 597502 707656 896253 1061484 1195004 1792506 2122968 2390008 3585012 7170024 15833803 31667606 47501409 63335212 95002818 126670424 190005636 380011272