Search a number
-
+
373828356 = 2232112513761
BaseRepresentation
bin10110010010000…
…010101100000100
3222001102110002200
4112102002230010
51231200001411
6101032234500
712156326406
oct2622025404
9861373080
10373828356
1118201a860
12a523ba30
135c5aa015
1437910b76
1522c43e56
hex16482b04

373828356 has 72 divisors (see below), whose sum is σ = 1035242208. Its totient is φ = 112800000.

The previous prime is 373828339. The next prime is 373828373. The reversal of 373828356 is 653828373.

It is an interprime number because it is at equal distance from previous prime (373828339) and next prime (373828373).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97516 + ... + 101276.

It is an arithmetic number, because the mean of its divisors is an integer number (14378364).

Almost surely, 2373828356 is an apocalyptic number.

373828356 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 373828356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517621104).

373828356 is an abundant number, since it is smaller than the sum of its proper divisors (661413852).

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

373828356 is a wasteful number, since it uses less digits than its factorization.

373828356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4028 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 373828356 is about 19334.6413465572. The cubic root of 373828356 is about 720.3729780510.

The spelling of 373828356 in words is "three hundred seventy-three million, eight hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 251 396 502 753 1004 1506 2259 2761 3012 3761 4518 5522 7522 8283 9036 11044 11283 15044 16566 22566 24849 33132 33849 41371 45132 49698 67698 82742 99396 124113 135396 165484 248226 372339 496452 744678 944011 1489356 1888022 2832033 3776044 5664066 8496099 10384121 11328132 16992198 20768242 31152363 33984396 41536484 62304726 93457089 124609452 186914178 373828356